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Finding the Fourth Proportional to 21,641.76, 32,469.12 and 9,167.28

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Solution

The fourth proportional to 21,641.76, 32,469.12 and 9,167.28 is: 13,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.76 : 32,469.12 = 9,167.28 : x
  2. Step 2: Convert to fraction form
    21,641.76/32,469.12 = 9,167.28/x
  3. Step 3: Cross multiply
    21,641.76x = 32,469.12 × 9,167.28
  4. Step 4: Simplify right side
    21,641.76x = 297,653,514.39
  5. Step 5: Solve for x
    x = 297,653,514.39/21,641.76
  6. Step 6: Final answer
    x = 13,753.66

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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.