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Finding the Fourth Proportional to 16,255, 24,377.55 and 8,459.56

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Solution

The fourth proportional to 16,255, 24,377.55 and 8,459.56 is: 12,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255 : 24,377.55 = 8,459.56 : x
  2. Step 2: Convert to fraction form
    16,255/24,377.55 = 8,459.56/x
  3. Step 3: Cross multiply
    16,255x = 24,377.55 × 8,459.56
  4. Step 4: Simplify right side
    16,255x = 206,223,346.88
  5. Step 5: Solve for x
    x = 206,223,346.88/16,255
  6. Step 6: Final answer
    x = 12,686.76

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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.