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Finding the Fourth Proportional to 16,354.74, 24,542.85 and 8,964.42

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Solution

The fourth proportional to 16,354.74, 24,542.85 and 8,964.42 is: 13,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.74 : 24,542.85 = 8,964.42 : x
  2. Step 2: Convert to fraction form
    16,354.74/24,542.85 = 8,964.42/x
  3. Step 3: Cross multiply
    16,354.74x = 24,542.85 × 8,964.42
  4. Step 4: Simplify right side
    16,354.74x = 220,012,444.61
  5. Step 5: Solve for x
    x = 220,012,444.61/16,354.74
  6. Step 6: Final answer
    x = 13,452.52

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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.