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Finding the Fourth Proportional to 12,574.67, 18,864.75 and 3,810.27

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Solution

The fourth proportional to 12,574.67, 18,864.75 and 3,810.27 is: 5,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.67 : 18,864.75 = 3,810.27 : x
  2. Step 2: Convert to fraction form
    12,574.67/18,864.75 = 3,810.27/x
  3. Step 3: Cross multiply
    12,574.67x = 18,864.75 × 3,810.27
  4. Step 4: Simplify right side
    12,574.67x = 71,879,695.41
  5. Step 5: Solve for x
    x = 71,879,695.41/12,574.67
  6. Step 6: Final answer
    x = 5,716.23

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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.