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Finding the Fourth Proportional to 17,757.72, 24,505.70 and 9,800.16

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Solution

The fourth proportional to 17,757.72, 24,505.70 and 9,800.16 is: 13,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.72 : 24,505.70 = 9,800.16 : x
  2. Step 2: Convert to fraction form
    17,757.72/24,505.70 = 9,800.16/x
  3. Step 3: Cross multiply
    17,757.72x = 24,505.70 × 9,800.16
  4. Step 4: Simplify right side
    17,757.72x = 240,159,731.91
  5. Step 5: Solve for x
    x = 240,159,731.91/17,757.72
  6. Step 6: Final answer
    x = 13,524.24

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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.