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Finding the Fourth Proportional to 21,624.64, 32,447.04 and 21,275.20

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Solution

The fourth proportional to 21,624.64, 32,447.04 and 21,275.20 is: 31,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.64 : 32,447.04 = 21,275.20 : x
  2. Step 2: Convert to fraction form
    21,624.64/32,447.04 = 21,275.20/x
  3. Step 3: Cross multiply
    21,624.64x = 32,447.04 × 21,275.20
  4. Step 4: Simplify right side
    21,624.64x = 690,317,265.41
  5. Step 5: Solve for x
    x = 690,317,265.41/21,624.64
  6. Step 6: Final answer
    x = 31,922.72

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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.