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Finding the Fourth Proportional to 26,601.98, 39,902.94 and 7,882.16

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Solution

The fourth proportional to 26,601.98, 39,902.94 and 7,882.16 is: 11,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.98 : 39,902.94 = 7,882.16 : x
  2. Step 2: Convert to fraction form
    26,601.98/39,902.94 = 7,882.16/x
  3. Step 3: Cross multiply
    26,601.98x = 39,902.94 × 7,882.16
  4. Step 4: Simplify right side
    26,601.98x = 314,521,158.04
  5. Step 5: Solve for x
    x = 314,521,158.04/26,601.98
  6. Step 6: Final answer
    x = 11,823.23

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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.