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Finding the Fourth Proportional to 26,601.82, 39,898.23 and 7,881.46

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Solution

The fourth proportional to 26,601.82, 39,898.23 and 7,881.46 is: 11,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.82 : 39,898.23 = 7,881.46 : x
  2. Step 2: Convert to fraction form
    26,601.82/39,898.23 = 7,881.46/x
  3. Step 3: Cross multiply
    26,601.82x = 39,898.23 × 7,881.46
  4. Step 4: Simplify right side
    26,601.82x = 314,456,303.82
  5. Step 5: Solve for x
    x = 314,456,303.82/26,601.82
  6. Step 6: Final answer
    x = 11,820.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.