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Finding the Fourth Proportional to 10,129.80, 15,193.98 and 2,734.68

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Solution

The fourth proportional to 10,129.80, 15,193.98 and 2,734.68 is: 4,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.80 : 15,193.98 = 2,734.68 : x
  2. Step 2: Convert to fraction form
    10,129.80/15,193.98 = 2,734.68/x
  3. Step 3: Cross multiply
    10,129.80x = 15,193.98 × 2,734.68
  4. Step 4: Simplify right side
    10,129.80x = 41,550,673.23
  5. Step 5: Solve for x
    x = 41,550,673.23/10,129.80
  6. Step 6: Final answer
    x = 4,101.83

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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.