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Finding the Fourth Proportional to 25,225.24, 37,843.90 and 7,693.96

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Solution

The fourth proportional to 25,225.24, 37,843.90 and 7,693.96 is: 11,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.24 : 37,843.90 = 7,693.96 : x
  2. Step 2: Convert to fraction form
    25,225.24/37,843.90 = 7,693.96/x
  3. Step 3: Cross multiply
    25,225.24x = 37,843.90 × 7,693.96
  4. Step 4: Simplify right side
    25,225.24x = 291,169,452.84
  5. Step 5: Solve for x
    x = 291,169,452.84/25,225.24
  6. Step 6: Final answer
    x = 11,542.78

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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.