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Finding the Fourth Proportional to 20,172.60, 30,229.20 and 14,637.60

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Solution

The fourth proportional to 20,172.60, 30,229.20 and 14,637.60 is: 21,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.60 : 30,229.20 = 14,637.60 : x
  2. Step 2: Convert to fraction form
    20,172.60/30,229.20 = 14,637.60/x
  3. Step 3: Cross multiply
    20,172.60x = 30,229.20 × 14,637.60
  4. Step 4: Simplify right side
    20,172.60x = 442,482,937.92
  5. Step 5: Solve for x
    x = 442,482,937.92/20,172.60
  6. Step 6: Final answer
    x = 21,934.85

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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.