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Finding the Fourth Proportional to 18,878.20, 28,320.70 and 7,778.82

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Solution

The fourth proportional to 18,878.20, 28,320.70 and 7,778.82 is: 11,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.20 : 28,320.70 = 7,778.82 : x
  2. Step 2: Convert to fraction form
    18,878.20/28,320.70 = 7,778.82/x
  3. Step 3: Cross multiply
    18,878.20x = 28,320.70 × 7,778.82
  4. Step 4: Simplify right side
    18,878.20x = 220,301,627.57
  5. Step 5: Solve for x
    x = 220,301,627.57/18,878.20
  6. Step 6: Final answer
    x = 11,669.63

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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.