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Finding the Fourth Proportional to 17,669.92, 24,384.78 and 9,713.08

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Solution

The fourth proportional to 17,669.92, 24,384.78 and 9,713.08 is: 13,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.92 : 24,384.78 = 9,713.08 : x
  2. Step 2: Convert to fraction form
    17,669.92/24,384.78 = 9,713.08/x
  3. Step 3: Cross multiply
    17,669.92x = 24,384.78 × 9,713.08
  4. Step 4: Simplify right side
    17,669.92x = 236,851,318.92
  5. Step 5: Solve for x
    x = 236,851,318.92/17,669.92
  6. Step 6: Final answer
    x = 13,404.21

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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.