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Finding the Fourth Proportional to 25,822.80, 38,747 and 10,240.08

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Solution

The fourth proportional to 25,822.80, 38,747 and 10,240.08 is: 15,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.80 : 38,747 = 10,240.08 : x
  2. Step 2: Convert to fraction form
    25,822.80/38,747 = 10,240.08/x
  3. Step 3: Cross multiply
    25,822.80x = 38,747 × 10,240.08
  4. Step 4: Simplify right side
    25,822.80x = 396,772,379.76
  5. Step 5: Solve for x
    x = 396,772,379.76/25,822.80
  6. Step 6: Final answer
    x = 15,365.20

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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.