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Finding the Fourth Proportional to 13,481,728.80, 20,180,602.80 and 9,702,592.80

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Solution

The fourth proportional to 13,481,728.80, 20,180,602.80 and 9,702,592.80 is: 14,523,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481,728.80 : 20,180,602.80 = 9,702,592.80 : x
  2. Step 2: Convert to fraction form
    13,481,728.80/20,180,602.80 = 9,702,592.80/x
  3. Step 3: Cross multiply
    13,481,728.80x = 20,180,602.80 × 9,702,592.80
  4. Step 4: Simplify right side
    13,481,728.80x = 195,804,171,426,939.88
  5. Step 5: Solve for x
    x = 195,804,171,426,939.88/13,481,728.80
  6. Step 6: Final answer
    x = 14,523,669.36

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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.