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Finding the Fourth Proportional to 24,708.92, 34,098.07 and 13,378.13

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Solution

The fourth proportional to 24,708.92, 34,098.07 and 13,378.13 is: 18,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.92 : 34,098.07 = 13,378.13 : x
  2. Step 2: Convert to fraction form
    24,708.92/34,098.07 = 13,378.13/x
  3. Step 3: Cross multiply
    24,708.92x = 34,098.07 × 13,378.13
  4. Step 4: Simplify right side
    24,708.92x = 456,168,413.21
  5. Step 5: Solve for x
    x = 456,168,413.21/24,708.92
  6. Step 6: Final answer
    x = 18,461.69

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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.