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Finding the Fourth Proportional to 12,871.80, 19,311.30 and 6,298.20

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Solution

The fourth proportional to 12,871.80, 19,311.30 and 6,298.20 is: 9,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.80 : 19,311.30 = 6,298.20 : x
  2. Step 2: Convert to fraction form
    12,871.80/19,311.30 = 6,298.20/x
  3. Step 3: Cross multiply
    12,871.80x = 19,311.30 × 6,298.20
  4. Step 4: Simplify right side
    12,871.80x = 121,626,429.66
  5. Step 5: Solve for x
    x = 121,626,429.66/12,871.80
  6. Step 6: Final answer
    x = 9,449.06

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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.