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Finding the Fourth Proportional to 17,456.54, 24,089.16 and 9,902.70

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Solution

The fourth proportional to 17,456.54, 24,089.16 and 9,902.70 is: 13,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.54 : 24,089.16 = 9,902.70 : x
  2. Step 2: Convert to fraction form
    17,456.54/24,089.16 = 9,902.70/x
  3. Step 3: Cross multiply
    17,456.54x = 24,089.16 × 9,902.70
  4. Step 4: Simplify right side
    17,456.54x = 238,547,724.73
  5. Step 5: Solve for x
    x = 238,547,724.73/17,456.54
  6. Step 6: Final answer
    x = 13,665.24

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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.