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Finding the Fourth Proportional to 22,286.46, 33,407.20 and 13,972.32

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Solution

The fourth proportional to 22,286.46, 33,407.20 and 13,972.32 is: 20,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.46 : 33,407.20 = 13,972.32 : x
  2. Step 2: Convert to fraction form
    22,286.46/33,407.20 = 13,972.32/x
  3. Step 3: Cross multiply
    22,286.46x = 33,407.20 × 13,972.32
  4. Step 4: Simplify right side
    22,286.46x = 466,776,088.70
  5. Step 5: Solve for x
    x = 466,776,088.70/22,286.46
  6. Step 6: Final answer
    x = 20,944.38

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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.