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Finding the Fourth Proportional to 20,657.96, 30,991.26 and 10,264.04

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Solution

The fourth proportional to 20,657.96, 30,991.26 and 10,264.04 is: 15,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.96 : 30,991.26 = 10,264.04 : x
  2. Step 2: Convert to fraction form
    20,657.96/30,991.26 = 10,264.04/x
  3. Step 3: Cross multiply
    20,657.96x = 30,991.26 × 10,264.04
  4. Step 4: Simplify right side
    20,657.96x = 318,095,532.29
  5. Step 5: Solve for x
    x = 318,095,532.29/20,657.96
  6. Step 6: Final answer
    x = 15,398.21

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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.