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Finding the Fourth Proportional to 26,194.75, 36,149.54 and 16,129.00

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Solution

The fourth proportional to 26,194.75, 36,149.54 and 16,129.00 is: 22,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194.75 : 36,149.54 = 16,129.00 : x
  2. Step 2: Convert to fraction form
    26,194.75/36,149.54 = 16,129.00/x
  3. Step 3: Cross multiply
    26,194.75x = 36,149.54 × 16,129.00
  4. Step 4: Simplify right side
    26,194.75x = 583,055,782.59
  5. Step 5: Solve for x
    x = 583,055,782.59/26,194.75
  6. Step 6: Final answer
    x = 22,258.50

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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.