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Finding the Fourth Proportional to 12,502.44, 18,758.90 and 5,478.84

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Solution

The fourth proportional to 12,502.44, 18,758.90 and 5,478.84 is: 8,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.44 : 18,758.90 = 5,478.84 : x
  2. Step 2: Convert to fraction form
    12,502.44/18,758.90 = 5,478.84/x
  3. Step 3: Cross multiply
    12,502.44x = 18,758.90 × 5,478.84
  4. Step 4: Simplify right side
    12,502.44x = 102,777,025.37
  5. Step 5: Solve for x
    x = 102,777,025.37/12,502.44
  6. Step 6: Final answer
    x = 8,220.56

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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.