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Finding the Fourth Proportional to 25,693.78, 38,540.22 and 10,111.41

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Solution

The fourth proportional to 25,693.78, 38,540.22 and 10,111.41 is: 15,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.78 : 38,540.22 = 10,111.41 : x
  2. Step 2: Convert to fraction form
    25,693.78/38,540.22 = 10,111.41/x
  3. Step 3: Cross multiply
    25,693.78x = 38,540.22 × 10,111.41
  4. Step 4: Simplify right side
    25,693.78x = 389,695,965.91
  5. Step 5: Solve for x
    x = 389,695,965.91/25,693.78
  6. Step 6: Final answer
    x = 15,166.94

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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.