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Finding the Fourth Proportional to 22,311.90, 30,787.83 and 13,358.16

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Solution

The fourth proportional to 22,311.90, 30,787.83 and 13,358.16 is: 18,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.90 : 30,787.83 = 13,358.16 : x
  2. Step 2: Convert to fraction form
    22,311.90/30,787.83 = 13,358.16/x
  3. Step 3: Cross multiply
    22,311.90x = 30,787.83 × 13,358.16
  4. Step 4: Simplify right side
    22,311.90x = 411,268,759.19
  5. Step 5: Solve for x
    x = 411,268,759.19/22,311.90
  6. Step 6: Final answer
    x = 18,432.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.