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Finding the Fourth Proportional to 25,637.65, 38,456.22 and 8,107.48

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Solution

The fourth proportional to 25,637.65, 38,456.22 and 8,107.48 is: 12,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.65 : 38,456.22 = 8,107.48 : x
  2. Step 2: Convert to fraction form
    25,637.65/38,456.22 = 8,107.48/x
  3. Step 3: Cross multiply
    25,637.65x = 38,456.22 × 8,107.48
  4. Step 4: Simplify right side
    25,637.65x = 311,783,034.53
  5. Step 5: Solve for x
    x = 311,783,034.53/25,637.65
  6. Step 6: Final answer
    x = 12,161.14

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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.