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Finding the Fourth Proportional to 23,720.28, 32,734.22 and 12,965.46

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Solution

The fourth proportional to 23,720.28, 32,734.22 and 12,965.46 is: 17,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.28 : 32,734.22 = 12,965.46 : x
  2. Step 2: Convert to fraction form
    23,720.28/32,734.22 = 12,965.46/x
  3. Step 3: Cross multiply
    23,720.28x = 32,734.22 × 12,965.46
  4. Step 4: Simplify right side
    23,720.28x = 424,414,220.04
  5. Step 5: Solve for x
    x = 424,414,220.04/23,720.28
  6. Step 6: Final answer
    x = 17,892.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.