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Finding the Fourth Proportional to 16,481.61, 22,744.53 and 9,407.88

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Solution

The fourth proportional to 16,481.61, 22,744.53 and 9,407.88 is: 12,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.61 : 22,744.53 = 9,407.88 : x
  2. Step 2: Convert to fraction form
    16,481.61/22,744.53 = 9,407.88/x
  3. Step 3: Cross multiply
    16,481.61x = 22,744.53 × 9,407.88
  4. Step 4: Simplify right side
    16,481.61x = 213,977,808.90
  5. Step 5: Solve for x
    x = 213,977,808.90/16,481.61
  6. Step 6: Final answer
    x = 12,982.82

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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.