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Finding the Fourth Proportional to 26,842.16, 37,042.44 and 15,662

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Solution

The fourth proportional to 26,842.16, 37,042.44 and 15,662 is: 21,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.16 : 37,042.44 = 15,662 : x
  2. Step 2: Convert to fraction form
    26,842.16/37,042.44 = 15,662/x
  3. Step 3: Cross multiply
    26,842.16x = 37,042.44 × 15,662
  4. Step 4: Simplify right side
    26,842.16x = 580,158,695.28
  5. Step 5: Solve for x
    x = 580,158,695.28/26,842.16
  6. Step 6: Final answer
    x = 21,613.71

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