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Finding the Fourth Proportional to 18,031.68, 24,883.92 and 9,966.33

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Solution

The fourth proportional to 18,031.68, 24,883.92 and 9,966.33 is: 13,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.68 : 24,883.92 = 9,966.33 : x
  2. Step 2: Convert to fraction form
    18,031.68/24,883.92 = 9,966.33/x
  3. Step 3: Cross multiply
    18,031.68x = 24,883.92 × 9,966.33
  4. Step 4: Simplify right side
    18,031.68x = 248,001,358.41
  5. Step 5: Solve for x
    x = 248,001,358.41/18,031.68
  6. Step 6: Final answer
    x = 13,753.65

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