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Finding the Fourth Proportional to 16,589.76, 24,869 and 8,261.90

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Solution

The fourth proportional to 16,589.76, 24,869 and 8,261.90 is: 12,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.76 : 24,869 = 8,261.90 : x
  2. Step 2: Convert to fraction form
    16,589.76/24,869 = 8,261.90/x
  3. Step 3: Cross multiply
    16,589.76x = 24,869 × 8,261.90
  4. Step 4: Simplify right side
    16,589.76x = 205,465,191.10
  5. Step 5: Solve for x
    x = 205,465,191.10/16,589.76
  6. Step 6: Final answer
    x = 12,385.06

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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.