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Finding the Fourth Proportional to 16,084.80, 24,112.08 and 8,291.52

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Solution

The fourth proportional to 16,084.80, 24,112.08 and 8,291.52 is: 12,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.80 : 24,112.08 = 8,291.52 : x
  2. Step 2: Convert to fraction form
    16,084.80/24,112.08 = 8,291.52/x
  3. Step 3: Cross multiply
    16,084.80x = 24,112.08 × 8,291.52
  4. Step 4: Simplify right side
    16,084.80x = 199,925,793.56
  5. Step 5: Solve for x
    x = 199,925,793.56/16,084.80
  6. Step 6: Final answer
    x = 12,429.49

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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.