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Finding the Fourth Proportional to 23,863.76, 35,811.96 and 8,281.28

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Solution

The fourth proportional to 23,863.76, 35,811.96 and 8,281.28 is: 12,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.76 : 35,811.96 = 8,281.28 : x
  2. Step 2: Convert to fraction form
    23,863.76/35,811.96 = 8,281.28/x
  3. Step 3: Cross multiply
    23,863.76x = 35,811.96 × 8,281.28
  4. Step 4: Simplify right side
    23,863.76x = 296,568,868.11
  5. Step 5: Solve for x
    x = 296,568,868.11/23,863.76
  6. Step 6: Final answer
    x = 12,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.