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Finding the Fourth Proportional to 15,625, 23,443.26 and 8,229.16

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Solution

The fourth proportional to 15,625, 23,443.26 and 8,229.16 is: 12,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,625 : 23,443.26 = 8,229.16 : x
  2. Step 2: Convert to fraction form
    15,625/23,443.26 = 8,229.16/x
  3. Step 3: Cross multiply
    15,625x = 23,443.26 × 8,229.16
  4. Step 4: Simplify right side
    15,625x = 192,918,337.46
  5. Step 5: Solve for x
    x = 192,918,337.46/15,625
  6. Step 6: Final answer
    x = 12,346.77

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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.