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Finding the Fourth Proportional to 12,574.15, 18,861.25 and 3,809.14

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Solution

The fourth proportional to 12,574.15, 18,861.25 and 3,809.14 is: 5,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.15 : 18,861.25 = 3,809.14 : x
  2. Step 2: Convert to fraction form
    12,574.15/18,861.25 = 3,809.14/x
  3. Step 3: Cross multiply
    12,574.15x = 18,861.25 × 3,809.14
  4. Step 4: Simplify right side
    12,574.15x = 71,845,141.83
  5. Step 5: Solve for x
    x = 71,845,141.83/12,574.15
  6. Step 6: Final answer
    x = 5,713.72

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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.