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Finding the Fourth Proportional to 21,278.69, 31,898.19 and 7,229.11

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Solution

The fourth proportional to 21,278.69, 31,898.19 and 7,229.11 is: 10,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.69 : 31,898.19 = 7,229.11 : x
  2. Step 2: Convert to fraction form
    21,278.69/31,898.19 = 7,229.11/x
  3. Step 3: Cross multiply
    21,278.69x = 31,898.19 × 7,229.11
  4. Step 4: Simplify right side
    21,278.69x = 230,595,524.31
  5. Step 5: Solve for x
    x = 230,595,524.31/21,278.69
  6. Step 6: Final answer
    x = 10,836.92

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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.