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Finding the Fourth Proportional to 23,193.44, 34,792.80 and 8,409.28

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Solution

The fourth proportional to 23,193.44, 34,792.80 and 8,409.28 is: 12,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.44 : 34,792.80 = 8,409.28 : x
  2. Step 2: Convert to fraction form
    23,193.44/34,792.80 = 8,409.28/x
  3. Step 3: Cross multiply
    23,193.44x = 34,792.80 × 8,409.28
  4. Step 4: Simplify right side
    23,193.44x = 292,582,397.18
  5. Step 5: Solve for x
    x = 292,582,397.18/23,193.44
  6. Step 6: Final answer
    x = 12,614.88

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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.