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Finding the Fourth Proportional to 22,264.47, 33,409.67 and 8,414.55

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Solution

The fourth proportional to 22,264.47, 33,409.67 and 8,414.55 is: 12,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.47 : 33,409.67 = 8,414.55 : x
  2. Step 2: Convert to fraction form
    22,264.47/33,409.67 = 8,414.55/x
  3. Step 3: Cross multiply
    22,264.47x = 33,409.67 × 8,414.55
  4. Step 4: Simplify right side
    22,264.47x = 281,127,296.63
  5. Step 5: Solve for x
    x = 281,127,296.63/22,264.47
  6. Step 6: Final answer
    x = 12,626.72

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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.