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Finding the Fourth Proportional to 12,314.38, 18,479.68 and 4,523.26

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Solution

The fourth proportional to 12,314.38, 18,479.68 and 4,523.26 is: 6,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.38 : 18,479.68 = 4,523.26 : x
  2. Step 2: Convert to fraction form
    12,314.38/18,479.68 = 4,523.26/x
  3. Step 3: Cross multiply
    12,314.38x = 18,479.68 × 4,523.26
  4. Step 4: Simplify right side
    12,314.38x = 83,588,397.36
  5. Step 5: Solve for x
    x = 83,588,397.36/12,314.38
  6. Step 6: Final answer
    x = 6,787.87

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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.