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Finding the Fourth Proportional to 16,448.97, 24,664.58 and 8,531.86

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Solution

The fourth proportional to 16,448.97, 24,664.58 and 8,531.86 is: 12,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.97 : 24,664.58 = 8,531.86 : x
  2. Step 2: Convert to fraction form
    16,448.97/24,664.58 = 8,531.86/x
  3. Step 3: Cross multiply
    16,448.97x = 24,664.58 × 8,531.86
  4. Step 4: Simplify right side
    16,448.97x = 210,434,780.15
  5. Step 5: Solve for x
    x = 210,434,780.15/16,448.97
  6. Step 6: Final answer
    x = 12,793.19

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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.