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Finding the Fourth Proportional to 22,654.68, 33,981.71 and 13,871.14

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Solution

The fourth proportional to 22,654.68, 33,981.71 and 13,871.14 is: 20,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.68 : 33,981.71 = 13,871.14 : x
  2. Step 2: Convert to fraction form
    22,654.68/33,981.71 = 13,871.14/x
  3. Step 3: Cross multiply
    22,654.68x = 33,981.71 × 13,871.14
  4. Step 4: Simplify right side
    22,654.68x = 471,365,056.85
  5. Step 5: Solve for x
    x = 471,365,056.85/22,654.68
  6. Step 6: Final answer
    x = 20,806.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.