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Finding the Fourth Proportional to 17,417.14, 24,037.13 and 9,864.81

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Solution

The fourth proportional to 17,417.14, 24,037.13 and 9,864.81 is: 13,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.14 : 24,037.13 = 9,864.81 : x
  2. Step 2: Convert to fraction form
    17,417.14/24,037.13 = 9,864.81/x
  3. Step 3: Cross multiply
    17,417.14x = 24,037.13 × 9,864.81
  4. Step 4: Simplify right side
    17,417.14x = 237,121,720.40
  5. Step 5: Solve for x
    x = 237,121,720.40/17,417.14
  6. Step 6: Final answer
    x = 13,614.28

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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.