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Finding the Fourth Proportional to 12,427.80, 18,645.20 and 4,108.56

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Solution

The fourth proportional to 12,427.80, 18,645.20 and 4,108.56 is: 6,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.80 : 18,645.20 = 4,108.56 : x
  2. Step 2: Convert to fraction form
    12,427.80/18,645.20 = 4,108.56/x
  3. Step 3: Cross multiply
    12,427.80x = 18,645.20 × 4,108.56
  4. Step 4: Simplify right side
    12,427.80x = 76,604,922.91
  5. Step 5: Solve for x
    x = 76,604,922.91/12,427.80
  6. Step 6: Final answer
    x = 6,164.00

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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.