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Finding the Fourth Proportional to 22,683.68, 31,304.12 and 13,732.80

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Solution

The fourth proportional to 22,683.68, 31,304.12 and 13,732.80 is: 18,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.68 : 31,304.12 = 13,732.80 : x
  2. Step 2: Convert to fraction form
    22,683.68/31,304.12 = 13,732.80/x
  3. Step 3: Cross multiply
    22,683.68x = 31,304.12 × 13,732.80
  4. Step 4: Simplify right side
    22,683.68x = 429,893,219.14
  5. Step 5: Solve for x
    x = 429,893,219.14/22,683.68
  6. Step 6: Final answer
    x = 18,951.65

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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.