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Finding the Fourth Proportional to 22,277.68, 30,743.16 and 12,206.76

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Solution

The fourth proportional to 22,277.68, 30,743.16 and 12,206.76 is: 16,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.68 : 30,743.16 = 12,206.76 : x
  2. Step 2: Convert to fraction form
    22,277.68/30,743.16 = 12,206.76/x
  3. Step 3: Cross multiply
    22,277.68x = 30,743.16 × 12,206.76
  4. Step 4: Simplify right side
    22,277.68x = 375,274,375.76
  5. Step 5: Solve for x
    x = 375,274,375.76/22,277.68
  6. Step 6: Final answer
    x = 16,845.31

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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.