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Finding the Fourth Proportional to 22,267.76, 30,729.50 and 12,331.76

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Solution

The fourth proportional to 22,267.76, 30,729.50 and 12,331.76 is: 17,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.76 : 30,729.50 = 12,331.76 : x
  2. Step 2: Convert to fraction form
    22,267.76/30,729.50 = 12,331.76/x
  3. Step 3: Cross multiply
    22,267.76x = 30,729.50 × 12,331.76
  4. Step 4: Simplify right side
    22,267.76x = 378,948,818.92
  5. Step 5: Solve for x
    x = 378,948,818.92/22,267.76
  6. Step 6: Final answer
    x = 17,017.82

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