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Finding the Fourth Proportional to 12,224.70, 18,337.05 and 8,288.10

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Solution

The fourth proportional to 12,224.70, 18,337.05 and 8,288.10 is: 12,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.70 : 18,337.05 = 8,288.10 : x
  2. Step 2: Convert to fraction form
    12,224.70/18,337.05 = 8,288.10/x
  3. Step 3: Cross multiply
    12,224.70x = 18,337.05 × 8,288.10
  4. Step 4: Simplify right side
    12,224.70x = 151,979,304.11
  5. Step 5: Solve for x
    x = 151,979,304.11/12,224.70
  6. Step 6: Final answer
    x = 12,432.15

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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.