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Finding the Fourth Proportional to 16,452.32, 22,704.10 and 9,378.59

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Solution

The fourth proportional to 16,452.32, 22,704.10 and 9,378.59 is: 12,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.32 : 22,704.10 = 9,378.59 : x
  2. Step 2: Convert to fraction form
    16,452.32/22,704.10 = 9,378.59/x
  3. Step 3: Cross multiply
    16,452.32x = 22,704.10 × 9,378.59
  4. Step 4: Simplify right side
    16,452.32x = 212,932,308.25
  5. Step 5: Solve for x
    x = 212,932,308.25/16,452.32
  6. Step 6: Final answer
    x = 12,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.