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Finding the Fourth Proportional to 12,574.30, 18,863.76 and 4,141.29

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Solution

The fourth proportional to 12,574.30, 18,863.76 and 4,141.29 is: 6,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.30 : 18,863.76 = 4,141.29 : x
  2. Step 2: Convert to fraction form
    12,574.30/18,863.76 = 4,141.29/x
  3. Step 3: Cross multiply
    12,574.30x = 18,863.76 × 4,141.29
  4. Step 4: Simplify right side
    12,574.30x = 78,120,300.65
  5. Step 5: Solve for x
    x = 78,120,300.65/12,574.30
  6. Step 6: Final answer
    x = 6,212.70

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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.