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Finding the Fourth Proportional to 26,407.68, 36,442.16 and 15,791.28

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Solution

The fourth proportional to 26,407.68, 36,442.16 and 15,791.28 is: 21,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.68 : 36,442.16 = 15,791.28 : x
  2. Step 2: Convert to fraction form
    26,407.68/36,442.16 = 15,791.28/x
  3. Step 3: Cross multiply
    26,407.68x = 36,442.16 × 15,791.28
  4. Step 4: Simplify right side
    26,407.68x = 575,468,352.36
  5. Step 5: Solve for x
    x = 575,468,352.36/26,407.68
  6. Step 6: Final answer
    x = 21,791.70

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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.