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Finding the Fourth Proportional to 12,535.44, 18,811.80 and 8,142

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Solution

The fourth proportional to 12,535.44, 18,811.80 and 8,142 is: 12,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.44 : 18,811.80 = 8,142 : x
  2. Step 2: Convert to fraction form
    12,535.44/18,811.80 = 8,142/x
  3. Step 3: Cross multiply
    12,535.44x = 18,811.80 × 8,142
  4. Step 4: Simplify right side
    12,535.44x = 153,165,675.60
  5. Step 5: Solve for x
    x = 153,165,675.60/12,535.44
  6. Step 6: Final answer
    x = 12,218.61

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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.