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Finding the Fourth Proportional to 12,574.30, 18,863.87 and 4,782.49

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Solution

The fourth proportional to 12,574.30, 18,863.87 and 4,782.49 is: 7,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.30 : 18,863.87 = 4,782.49 : x
  2. Step 2: Convert to fraction form
    12,574.30/18,863.87 = 4,782.49/x
  3. Step 3: Cross multiply
    12,574.30x = 18,863.87 × 4,782.49
  4. Step 4: Simplify right side
    12,574.30x = 90,216,245.72
  5. Step 5: Solve for x
    x = 90,216,245.72/12,574.30
  6. Step 6: Final answer
    x = 7,174.65

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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.