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Finding the Fourth Proportional to 12,454.20, 18,656.10 and 7,759.80

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Solution

The fourth proportional to 12,454.20, 18,656.10 and 7,759.80 is: 11,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.20 : 18,656.10 = 7,759.80 : x
  2. Step 2: Convert to fraction form
    12,454.20/18,656.10 = 7,759.80/x
  3. Step 3: Cross multiply
    12,454.20x = 18,656.10 × 7,759.80
  4. Step 4: Simplify right side
    12,454.20x = 144,767,604.78
  5. Step 5: Solve for x
    x = 144,767,604.78/12,454.20
  6. Step 6: Final answer
    x = 11,624.00

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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.