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Finding the Fourth Proportional to 16,423.20, 24,606.45 and 7,640.10

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Solution

The fourth proportional to 16,423.20, 24,606.45 and 7,640.10 is: 11,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.20 : 24,606.45 = 7,640.10 : x
  2. Step 2: Convert to fraction form
    16,423.20/24,606.45 = 7,640.10/x
  3. Step 3: Cross multiply
    16,423.20x = 24,606.45 × 7,640.10
  4. Step 4: Simplify right side
    16,423.20x = 187,995,738.65
  5. Step 5: Solve for x
    x = 187,995,738.65/16,423.20
  6. Step 6: Final answer
    x = 11,446.96

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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.