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Finding the Fourth Proportional to 26,138, 36,100.14 and 17,739.92

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Solution

The fourth proportional to 26,138, 36,100.14 and 17,739.92 is: 24,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 36,100.14 = 17,739.92 : x
  2. Step 2: Convert to fraction form
    26,138/36,100.14 = 17,739.92/x
  3. Step 3: Cross multiply
    26,138x = 36,100.14 × 17,739.92
  4. Step 4: Simplify right side
    26,138x = 640,413,595.59
  5. Step 5: Solve for x
    x = 640,413,595.59/26,138
  6. Step 6: Final answer
    x = 24,501.25

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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.