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Finding the Fourth Proportional to 17,456.29, 24,088.82 and 9,902.45

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Solution

The fourth proportional to 17,456.29, 24,088.82 and 9,902.45 is: 13,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.29 : 24,088.82 = 9,902.45 : x
  2. Step 2: Convert to fraction form
    17,456.29/24,088.82 = 9,902.45/x
  3. Step 3: Cross multiply
    17,456.29x = 24,088.82 × 9,902.45
  4. Step 4: Simplify right side
    17,456.29x = 238,538,335.61
  5. Step 5: Solve for x
    x = 238,538,335.61/17,456.29
  6. Step 6: Final answer
    x = 13,664.90

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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.