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Finding the Fourth Proportional to 26,200.31, 36,164.07 and 17,127

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Solution

The fourth proportional to 26,200.31, 36,164.07 and 17,127 is: 23,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.31 : 36,164.07 = 17,127 : x
  2. Step 2: Convert to fraction form
    26,200.31/36,164.07 = 17,127/x
  3. Step 3: Cross multiply
    26,200.31x = 36,164.07 × 17,127
  4. Step 4: Simplify right side
    26,200.31x = 619,382,026.89
  5. Step 5: Solve for x
    x = 619,382,026.89/26,200.31
  6. Step 6: Final answer
    x = 23,640.26

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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.