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Finding the Fourth Proportional to 22,275.41, 33,414.12 and 12,407.24

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Solution

The fourth proportional to 22,275.41, 33,414.12 and 12,407.24 is: 18,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.41 : 33,414.12 = 12,407.24 : x
  2. Step 2: Convert to fraction form
    22,275.41/33,414.12 = 12,407.24/x
  3. Step 3: Cross multiply
    22,275.41x = 33,414.12 × 12,407.24
  4. Step 4: Simplify right side
    22,275.41x = 414,577,089.76
  5. Step 5: Solve for x
    x = 414,577,089.76/22,275.41
  6. Step 6: Final answer
    x = 18,611.43

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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.