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Finding the Fourth Proportional to 21,443.01, 32,177.07 and 8,294.69

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Solution

The fourth proportional to 21,443.01, 32,177.07 and 8,294.69 is: 12,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,443.01 : 32,177.07 = 8,294.69 : x
  2. Step 2: Convert to fraction form
    21,443.01/32,177.07 = 8,294.69/x
  3. Step 3: Cross multiply
    21,443.01x = 32,177.07 × 8,294.69
  4. Step 4: Simplify right side
    21,443.01x = 266,898,659.87
  5. Step 5: Solve for x
    x = 266,898,659.87/21,443.01
  6. Step 6: Final answer
    x = 12,446.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.