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Finding the Fourth Proportional to 16,452.52, 22,703.52 and 9,378.88

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Solution

The fourth proportional to 16,452.52, 22,703.52 and 9,378.88 is: 12,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.52 : 22,703.52 = 9,378.88 : x
  2. Step 2: Convert to fraction form
    16,452.52/22,703.52 = 9,378.88/x
  3. Step 3: Cross multiply
    16,452.52x = 22,703.52 × 9,378.88
  4. Step 4: Simplify right side
    16,452.52x = 212,933,589.66
  5. Step 5: Solve for x
    x = 212,933,589.66/16,452.52
  6. Step 6: Final answer
    x = 12,942.31

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1.5x scale

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.