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Finding the Fourth Proportional to 28,826.38, 39,781 and 16,251.12

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Solution

The fourth proportional to 28,826.38, 39,781 and 16,251.12 is: 22,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,826.38 : 39,781 = 16,251.12 : x
  2. Step 2: Convert to fraction form
    28,826.38/39,781 = 16,251.12/x
  3. Step 3: Cross multiply
    28,826.38x = 39,781 × 16,251.12
  4. Step 4: Simplify right side
    28,826.38x = 646,485,804.72
  5. Step 5: Solve for x
    x = 646,485,804.72/28,826.38
  6. Step 6: Final answer
    x = 22,426.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.