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Finding the Fourth Proportional to 22,271.43, 33,407.12 and 9,123.82

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Solution

The fourth proportional to 22,271.43, 33,407.12 and 9,123.82 is: 13,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.43 : 33,407.12 = 9,123.82 : x
  2. Step 2: Convert to fraction form
    22,271.43/33,407.12 = 9,123.82/x
  3. Step 3: Cross multiply
    22,271.43x = 33,407.12 × 9,123.82
  4. Step 4: Simplify right side
    22,271.43x = 304,800,503.98
  5. Step 5: Solve for x
    x = 304,800,503.98/22,271.43
  6. Step 6: Final answer
    x = 13,685.72

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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.