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Finding the Fourth Proportional to 23,874.88, 35,800.80 and 7,228.48

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Solution

The fourth proportional to 23,874.88, 35,800.80 and 7,228.48 is: 10,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.88 : 35,800.80 = 7,228.48 : x
  2. Step 2: Convert to fraction form
    23,874.88/35,800.80 = 7,228.48/x
  3. Step 3: Cross multiply
    23,874.88x = 35,800.80 × 7,228.48
  4. Step 4: Simplify right side
    23,874.88x = 258,785,366.78
  5. Step 5: Solve for x
    x = 258,785,366.78/23,874.88
  6. Step 6: Final answer
    x = 10,839.23

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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.