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Finding the Fourth Proportional to 25,866.80, 38,803.80 and 10,280.80

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Solution

The fourth proportional to 25,866.80, 38,803.80 and 10,280.80 is: 15,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.80 : 38,803.80 = 10,280.80 : x
  2. Step 2: Convert to fraction form
    25,866.80/38,803.80 = 10,280.80/x
  3. Step 3: Cross multiply
    25,866.80x = 38,803.80 × 10,280.80
  4. Step 4: Simplify right side
    25,866.80x = 398,934,107.04
  5. Step 5: Solve for x
    x = 398,934,107.04/25,866.80
  6. Step 6: Final answer
    x = 15,422.63

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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.