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Finding the Fourth Proportional to 13,193.76, 19,765.80 and 10,257.78

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Solution

The fourth proportional to 13,193.76, 19,765.80 and 10,257.78 is: 15,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.76 : 19,765.80 = 10,257.78 : x
  2. Step 2: Convert to fraction form
    13,193.76/19,765.80 = 10,257.78/x
  3. Step 3: Cross multiply
    13,193.76x = 19,765.80 × 10,257.78
  4. Step 4: Simplify right side
    13,193.76x = 202,753,227.92
  5. Step 5: Solve for x
    x = 202,753,227.92/13,193.76
  6. Step 6: Final answer
    x = 15,367.36

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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.