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Finding the Fourth Proportional to 23,142.31, 34,713.56 and 5,612.13

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Solution

The fourth proportional to 23,142.31, 34,713.56 and 5,612.13 is: 8,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.31 : 34,713.56 = 5,612.13 : x
  2. Step 2: Convert to fraction form
    23,142.31/34,713.56 = 5,612.13/x
  3. Step 3: Cross multiply
    23,142.31x = 34,713.56 × 5,612.13
  4. Step 4: Simplify right side
    23,142.31x = 194,817,025.51
  5. Step 5: Solve for x
    x = 194,817,025.51/23,142.31
  6. Step 6: Final answer
    x = 8,418.22

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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.