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Finding the Fourth Proportional to 22,612.32, 33,912.12 and 9,462.60

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Solution

The fourth proportional to 22,612.32, 33,912.12 and 9,462.60 is: 14,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.32 : 33,912.12 = 9,462.60 : x
  2. Step 2: Convert to fraction form
    22,612.32/33,912.12 = 9,462.60/x
  3. Step 3: Cross multiply
    22,612.32x = 33,912.12 × 9,462.60
  4. Step 4: Simplify right side
    22,612.32x = 320,896,826.71
  5. Step 5: Solve for x
    x = 320,896,826.71/22,612.32
  6. Step 6: Final answer
    x = 14,191.24

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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.