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Finding the Fourth Proportional to 21,726.96, 32,579.40 and 10,617

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Solution

The fourth proportional to 21,726.96, 32,579.40 and 10,617 is: 15,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.96 : 32,579.40 = 10,617 : x
  2. Step 2: Convert to fraction form
    21,726.96/32,579.40 = 10,617/x
  3. Step 3: Cross multiply
    21,726.96x = 32,579.40 × 10,617
  4. Step 4: Simplify right side
    21,726.96x = 345,895,489.80
  5. Step 5: Solve for x
    x = 345,895,489.80/21,726.96
  6. Step 6: Final answer
    x = 15,920.11

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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.