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Finding the Fourth Proportional to 21,654.68, 32,479.28 and 6,863.74

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Solution

The fourth proportional to 21,654.68, 32,479.28 and 6,863.74 is: 10,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.68 : 32,479.28 = 6,863.74 : x
  2. Step 2: Convert to fraction form
    21,654.68/32,479.28 = 6,863.74/x
  3. Step 3: Cross multiply
    21,654.68x = 32,479.28 × 6,863.74
  4. Step 4: Simplify right side
    21,654.68x = 222,929,243.53
  5. Step 5: Solve for x
    x = 222,929,243.53/21,654.68
  6. Step 6: Final answer
    x = 10,294.74

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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.