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Finding the Fourth Proportional to 17,487.10, 24,132.18 and 10,413.82

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Solution

The fourth proportional to 17,487.10, 24,132.18 and 10,413.82 is: 14,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487.10 : 24,132.18 = 10,413.82 : x
  2. Step 2: Convert to fraction form
    17,487.10/24,132.18 = 10,413.82/x
  3. Step 3: Cross multiply
    17,487.10x = 24,132.18 × 10,413.82
  4. Step 4: Simplify right side
    17,487.10x = 251,308,178.73
  5. Step 5: Solve for x
    x = 251,308,178.73/17,487.10
  6. Step 6: Final answer
    x = 14,371.06

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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.