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Finding the Fourth Proportional to 22,777.36, 34,166.25 and 7,986.26

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Solution

The fourth proportional to 22,777.36, 34,166.25 and 7,986.26 is: 11,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.36 : 34,166.25 = 7,986.26 : x
  2. Step 2: Convert to fraction form
    22,777.36/34,166.25 = 7,986.26/x
  3. Step 3: Cross multiply
    22,777.36x = 34,166.25 × 7,986.26
  4. Step 4: Simplify right side
    22,777.36x = 272,860,641.14
  5. Step 5: Solve for x
    x = 272,860,641.14/22,777.36
  6. Step 6: Final answer
    x = 11,979.47

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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.