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Finding the Fourth Proportional to 12,574.24, 18,859.20 and 5,178.40

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Solution

The fourth proportional to 12,574.24, 18,859.20 and 5,178.40 is: 7,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.24 : 18,859.20 = 5,178.40 : x
  2. Step 2: Convert to fraction form
    12,574.24/18,859.20 = 5,178.40/x
  3. Step 3: Cross multiply
    12,574.24x = 18,859.20 × 5,178.40
  4. Step 4: Simplify right side
    12,574.24x = 97,660,481.28
  5. Step 5: Solve for x
    x = 97,660,481.28/12,574.24
  6. Step 6: Final answer
    x = 7,766.71

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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.