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Finding the Fourth Proportional to 16,642.35, 24,947.19 and 8,309.88

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Solution

The fourth proportional to 16,642.35, 24,947.19 and 8,309.88 is: 12,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.35 : 24,947.19 = 8,309.88 : x
  2. Step 2: Convert to fraction form
    16,642.35/24,947.19 = 8,309.88/x
  3. Step 3: Cross multiply
    16,642.35x = 24,947.19 × 8,309.88
  4. Step 4: Simplify right side
    16,642.35x = 207,308,155.24
  5. Step 5: Solve for x
    x = 207,308,155.24/16,642.35
  6. Step 6: Final answer
    x = 12,456.66

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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.