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Finding the Fourth Proportional to 22,442.32, 33,667.17 and 8,407.18

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Solution

The fourth proportional to 22,442.32, 33,667.17 and 8,407.18 is: 12,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.32 : 33,667.17 = 8,407.18 : x
  2. Step 2: Convert to fraction form
    22,442.32/33,667.17 = 8,407.18/x
  3. Step 3: Cross multiply
    22,442.32x = 33,667.17 × 8,407.18
  4. Step 4: Simplify right side
    22,442.32x = 283,045,958.28
  5. Step 5: Solve for x
    x = 283,045,958.28/22,442.32
  6. Step 6: Final answer
    x = 12,612.15

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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.