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Finding the Fourth Proportional to 22,781.46, 31,425.76 and 13,348.20

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Solution

The fourth proportional to 22,781.46, 31,425.76 and 13,348.20 is: 18,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.46 : 31,425.76 = 13,348.20 : x
  2. Step 2: Convert to fraction form
    22,781.46/31,425.76 = 13,348.20/x
  3. Step 3: Cross multiply
    22,781.46x = 31,425.76 × 13,348.20
  4. Step 4: Simplify right side
    22,781.46x = 419,477,329.63
  5. Step 5: Solve for x
    x = 419,477,329.63/22,781.46
  6. Step 6: Final answer
    x = 18,413.10

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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.