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Finding the Fourth Proportional to 12,463.10, 18,702.42 and 8,306.02

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Solution

The fourth proportional to 12,463.10, 18,702.42 and 8,306.02 is: 12,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.10 : 18,702.42 = 8,306.02 : x
  2. Step 2: Convert to fraction form
    12,463.10/18,702.42 = 8,306.02/x
  3. Step 3: Cross multiply
    12,463.10x = 18,702.42 × 8,306.02
  4. Step 4: Simplify right side
    12,463.10x = 155,342,674.57
  5. Step 5: Solve for x
    x = 155,342,674.57/12,463.10
  6. Step 6: Final answer
    x = 12,464.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.