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Finding the Fourth Proportional to 15,043.28, 20,761.72 and 9,078.36

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Solution

The fourth proportional to 15,043.28, 20,761.72 and 9,078.36 is: 12,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,043.28 : 20,761.72 = 9,078.36 : x
  2. Step 2: Convert to fraction form
    15,043.28/20,761.72 = 9,078.36/x
  3. Step 3: Cross multiply
    15,043.28x = 20,761.72 × 9,078.36
  4. Step 4: Simplify right side
    15,043.28x = 188,482,368.38
  5. Step 5: Solve for x
    x = 188,482,368.38/15,043.28
  6. Step 6: Final answer
    x = 12,529.34

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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.