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Finding the Fourth Proportional to 21,624.42, 32,422.68 and 8,478.12

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Solution

The fourth proportional to 21,624.42, 32,422.68 and 8,478.12 is: 12,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.42 : 32,422.68 = 8,478.12 : x
  2. Step 2: Convert to fraction form
    21,624.42/32,422.68 = 8,478.12/x
  3. Step 3: Cross multiply
    21,624.42x = 32,422.68 × 8,478.12
  4. Step 4: Simplify right side
    21,624.42x = 274,883,371.76
  5. Step 5: Solve for x
    x = 274,883,371.76/21,624.42
  6. Step 6: Final answer
    x = 12,711.71

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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.