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Finding the Fourth Proportional to 22,906.90, 34,365.26 and 7,111.60

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Solution

The fourth proportional to 22,906.90, 34,365.26 and 7,111.60 is: 10,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.90 : 34,365.26 = 7,111.60 : x
  2. Step 2: Convert to fraction form
    22,906.90/34,365.26 = 7,111.60/x
  3. Step 3: Cross multiply
    22,906.90x = 34,365.26 × 7,111.60
  4. Step 4: Simplify right side
    22,906.90x = 244,391,983.02
  5. Step 5: Solve for x
    x = 244,391,983.02/22,906.90
  6. Step 6: Final answer
    x = 10,668.92

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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.