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Finding the Fourth Proportional to 12,859.20, 19,304.40 and 8,179.20

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Solution

The fourth proportional to 12,859.20, 19,304.40 and 8,179.20 is: 12,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.20 : 19,304.40 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    12,859.20/19,304.40 = 8,179.20/x
  3. Step 3: Cross multiply
    12,859.20x = 19,304.40 × 8,179.20
  4. Step 4: Simplify right side
    12,859.20x = 157,894,548.48
  5. Step 5: Solve for x
    x = 157,894,548.48/12,859.20
  6. Step 6: Final answer
    x = 12,278.72

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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.