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Finding the Fourth Proportional to 17,842.28, 26,761.28 and 4,695.68

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Solution

The fourth proportional to 17,842.28, 26,761.28 and 4,695.68 is: 7,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.28 : 26,761.28 = 4,695.68 : x
  2. Step 2: Convert to fraction form
    17,842.28/26,761.28 = 4,695.68/x
  3. Step 3: Cross multiply
    17,842.28x = 26,761.28 × 4,695.68
  4. Step 4: Simplify right side
    17,842.28x = 125,662,450.70
  5. Step 5: Solve for x
    x = 125,662,450.70/17,842.28
  6. Step 6: Final answer
    x = 7,042.96

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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.