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Finding the Fourth Proportional to 12,877.20, 19,315.80 and 5,965.20

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Solution

The fourth proportional to 12,877.20, 19,315.80 and 5,965.20 is: 8,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.20 : 19,315.80 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    12,877.20/19,315.80 = 5,965.20/x
  3. Step 3: Cross multiply
    12,877.20x = 19,315.80 × 5,965.20
  4. Step 4: Simplify right side
    12,877.20x = 115,222,610.16
  5. Step 5: Solve for x
    x = 115,222,610.16/12,877.20
  6. Step 6: Final answer
    x = 8,947.80

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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.