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Finding the Fourth Proportional to 22,114.20, 33,171.30 and 13,657.80

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Solution

The fourth proportional to 22,114.20, 33,171.30 and 13,657.80 is: 20,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.20 : 33,171.30 = 13,657.80 : x
  2. Step 2: Convert to fraction form
    22,114.20/33,171.30 = 13,657.80/x
  3. Step 3: Cross multiply
    22,114.20x = 33,171.30 × 13,657.80
  4. Step 4: Simplify right side
    22,114.20x = 453,046,981.14
  5. Step 5: Solve for x
    x = 453,046,981.14/22,114.20
  6. Step 6: Final answer
    x = 20,486.70

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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.