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Finding the Fourth Proportional to 12,815, 19,223.22 and 3,581.72

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Solution

The fourth proportional to 12,815, 19,223.22 and 3,581.72 is: 5,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 19,223.22 = 3,581.72 : x
  2. Step 2: Convert to fraction form
    12,815/19,223.22 = 3,581.72/x
  3. Step 3: Cross multiply
    12,815x = 19,223.22 × 3,581.72
  4. Step 4: Simplify right side
    12,815x = 68,852,191.54
  5. Step 5: Solve for x
    x = 68,852,191.54/12,815
  6. Step 6: Final answer
    x = 5,372.78

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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.