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Finding the Fourth Proportional to 22,800.20, 34,202.82 and 9,471.74

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Solution

The fourth proportional to 22,800.20, 34,202.82 and 9,471.74 is: 14,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.20 : 34,202.82 = 9,471.74 : x
  2. Step 2: Convert to fraction form
    22,800.20/34,202.82 = 9,471.74/x
  3. Step 3: Cross multiply
    22,800.20x = 34,202.82 × 9,471.74
  4. Step 4: Simplify right side
    22,800.20x = 323,960,218.31
  5. Step 5: Solve for x
    x = 323,960,218.31/22,800.20
  6. Step 6: Final answer
    x = 14,208.66

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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.