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Finding the Fourth Proportional to 22,781.63, 31,439.55 and 12,710.95

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Solution

The fourth proportional to 22,781.63, 31,439.55 and 12,710.95 is: 17,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.63 : 31,439.55 = 12,710.95 : x
  2. Step 2: Convert to fraction form
    22,781.63/31,439.55 = 12,710.95/x
  3. Step 3: Cross multiply
    22,781.63x = 31,439.55 × 12,710.95
  4. Step 4: Simplify right side
    22,781.63x = 399,626,517.14
  5. Step 5: Solve for x
    x = 399,626,517.14/22,781.63
  6. Step 6: Final answer
    x = 17,541.62

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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.