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Finding the Fourth Proportional to 25,350.81, 38,029.88 and 7,822

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Solution

The fourth proportional to 25,350.81, 38,029.88 and 7,822 is: 11,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350.81 : 38,029.88 = 7,822 : x
  2. Step 2: Convert to fraction form
    25,350.81/38,029.88 = 7,822/x
  3. Step 3: Cross multiply
    25,350.81x = 38,029.88 × 7,822
  4. Step 4: Simplify right side
    25,350.81x = 297,469,721.36
  5. Step 5: Solve for x
    x = 297,469,721.36/25,350.81
  6. Step 6: Final answer
    x = 11,734.13

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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.