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Finding the Fourth Proportional to 12,378.80, 18,539.40 and 7,713.20

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Solution

The fourth proportional to 12,378.80, 18,539.40 and 7,713.20 is: 11,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.80 : 18,539.40 = 7,713.20 : x
  2. Step 2: Convert to fraction form
    12,378.80/18,539.40 = 7,713.20/x
  3. Step 3: Cross multiply
    12,378.80x = 18,539.40 × 7,713.20
  4. Step 4: Simplify right side
    12,378.80x = 142,998,100.08
  5. Step 5: Solve for x
    x = 142,998,100.08/12,378.80
  6. Step 6: Final answer
    x = 11,551.85

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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.