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Finding the Fourth Proportional to 14,732.80, 20,305.02 and 10,242.16

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Solution

The fourth proportional to 14,732.80, 20,305.02 and 10,242.16 is: 14,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.80 : 20,305.02 = 10,242.16 : x
  2. Step 2: Convert to fraction form
    14,732.80/20,305.02 = 10,242.16/x
  3. Step 3: Cross multiply
    14,732.80x = 20,305.02 × 10,242.16
  4. Step 4: Simplify right side
    14,732.80x = 207,967,263.64
  5. Step 5: Solve for x
    x = 207,967,263.64/14,732.80
  6. Step 6: Final answer
    x = 14,115.94

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