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Finding the Fourth Proportional to 23,838.28, 35,761.02 and 8,850.28

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Solution

The fourth proportional to 23,838.28, 35,761.02 and 8,850.28 is: 13,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.28 : 35,761.02 = 8,850.28 : x
  2. Step 2: Convert to fraction form
    23,838.28/35,761.02 = 8,850.28/x
  3. Step 3: Cross multiply
    23,838.28x = 35,761.02 × 8,850.28
  4. Step 4: Simplify right side
    23,838.28x = 316,495,040.09
  5. Step 5: Solve for x
    x = 316,495,040.09/23,838.28
  6. Step 6: Final answer
    x = 13,276.76

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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.