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Finding the Fourth Proportional to 14,551.38, 20,075.67 and 9,518.49

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Solution

The fourth proportional to 14,551.38, 20,075.67 and 9,518.49 is: 13,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.38 : 20,075.67 = 9,518.49 : x
  2. Step 2: Convert to fraction form
    14,551.38/20,075.67 = 9,518.49/x
  3. Step 3: Cross multiply
    14,551.38x = 20,075.67 × 9,518.49
  4. Step 4: Simplify right side
    14,551.38x = 191,090,064.14
  5. Step 5: Solve for x
    x = 191,090,064.14/14,551.38
  6. Step 6: Final answer
    x = 13,132.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.