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Finding the Fourth Proportional to 24,743.60, 34,146.20 and 13,413.16

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Solution

The fourth proportional to 24,743.60, 34,146.20 and 13,413.16 is: 18,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.60 : 34,146.20 = 13,413.16 : x
  2. Step 2: Convert to fraction form
    24,743.60/34,146.20 = 13,413.16/x
  3. Step 3: Cross multiply
    24,743.60x = 34,146.20 × 13,413.16
  4. Step 4: Simplify right side
    24,743.60x = 458,008,443.99
  5. Step 5: Solve for x
    x = 458,008,443.99/24,743.60
  6. Step 6: Final answer
    x = 18,510.18

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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.