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Finding the Fourth Proportional to 22,414.76, 30,932.38 and 12,343.18

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Solution

The fourth proportional to 22,414.76, 30,932.38 and 12,343.18 is: 17,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.76 : 30,932.38 = 12,343.18 : x
  2. Step 2: Convert to fraction form
    22,414.76/30,932.38 = 12,343.18/x
  3. Step 3: Cross multiply
    22,414.76x = 30,932.38 × 12,343.18
  4. Step 4: Simplify right side
    22,414.76x = 381,803,941.98
  5. Step 5: Solve for x
    x = 381,803,941.98/22,414.76
  6. Step 6: Final answer
    x = 17,033.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.