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Finding the Fourth Proportional to 13,537,924.80, 20,340,064.80 and 10,178,692.80

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Solution

The fourth proportional to 13,537,924.80, 20,340,064.80 and 10,178,692.80 is: 15,292,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537,924.80 : 20,340,064.80 = 10,178,692.80 : x
  2. Step 2: Convert to fraction form
    13,537,924.80/20,340,064.80 = 10,178,692.80/x
  3. Step 3: Cross multiply
    13,537,924.80x = 20,340,064.80 × 10,178,692.80
  4. Step 4: Simplify right side
    13,537,924.80x = 207,035,271,131,293.47
  5. Step 5: Solve for x
    x = 207,035,271,131,293.47/13,537,924.80
  6. Step 6: Final answer
    x = 15,292,984.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.