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Finding the Fourth Proportional to 12,910.68, 17,788.14 and 10,778.76

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Solution

The fourth proportional to 12,910.68, 17,788.14 and 10,778.76 is: 14,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.68 : 17,788.14 = 10,778.76 : x
  2. Step 2: Convert to fraction form
    12,910.68/17,788.14 = 10,778.76/x
  3. Step 3: Cross multiply
    12,910.68x = 17,788.14 × 10,778.76
  4. Step 4: Simplify right side
    12,910.68x = 191,734,091.91
  5. Step 5: Solve for x
    x = 191,734,091.91/12,910.68
  6. Step 6: Final answer
    x = 14,850.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.