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Finding the Fourth Proportional to 12,376.80, 18,565.20 and 4,591.20

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Solution

The fourth proportional to 12,376.80, 18,565.20 and 4,591.20 is: 6,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.80 : 18,565.20 = 4,591.20 : x
  2. Step 2: Convert to fraction form
    12,376.80/18,565.20 = 4,591.20/x
  3. Step 3: Cross multiply
    12,376.80x = 18,565.20 × 4,591.20
  4. Step 4: Simplify right side
    12,376.80x = 85,236,546.24
  5. Step 5: Solve for x
    x = 85,236,546.24/12,376.80
  6. Step 6: Final answer
    x = 6,886.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.