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Finding the Fourth Proportional to 12,986.70, 19,480.05 and 8,061.90

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Solution

The fourth proportional to 12,986.70, 19,480.05 and 8,061.90 is: 12,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.70 : 19,480.05 = 8,061.90 : x
  2. Step 2: Convert to fraction form
    12,986.70/19,480.05 = 8,061.90/x
  3. Step 3: Cross multiply
    12,986.70x = 19,480.05 × 8,061.90
  4. Step 4: Simplify right side
    12,986.70x = 157,046,215.10
  5. Step 5: Solve for x
    x = 157,046,215.10/12,986.70
  6. Step 6: Final answer
    x = 12,092.85

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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.