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Finding the Fourth Proportional to 21,862.50, 32,799.29 and 6,280.13

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Solution

The fourth proportional to 21,862.50, 32,799.29 and 6,280.13 is: 9,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.50 : 32,799.29 = 6,280.13 : x
  2. Step 2: Convert to fraction form
    21,862.50/32,799.29 = 6,280.13/x
  3. Step 3: Cross multiply
    21,862.50x = 32,799.29 × 6,280.13
  4. Step 4: Simplify right side
    21,862.50x = 205,983,609.71
  5. Step 5: Solve for x
    x = 205,983,609.71/21,862.50
  6. Step 6: Final answer
    x = 9,421.78

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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.