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Finding the Fourth Proportional to 22,265.14, 33,397.71 and 9,944.50

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Solution

The fourth proportional to 22,265.14, 33,397.71 and 9,944.50 is: 14,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.14 : 33,397.71 = 9,944.50 : x
  2. Step 2: Convert to fraction form
    22,265.14/33,397.71 = 9,944.50/x
  3. Step 3: Cross multiply
    22,265.14x = 33,397.71 × 9,944.50
  4. Step 4: Simplify right side
    22,265.14x = 332,123,527.10
  5. Step 5: Solve for x
    x = 332,123,527.10/22,265.14
  6. Step 6: Final answer
    x = 14,916.75

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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.