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Finding the Fourth Proportional to 25,540.48, 38,321.74 and 9,750.25

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Solution

The fourth proportional to 25,540.48, 38,321.74 and 9,750.25 is: 14,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.48 : 38,321.74 = 9,750.25 : x
  2. Step 2: Convert to fraction form
    25,540.48/38,321.74 = 9,750.25/x
  3. Step 3: Cross multiply
    25,540.48x = 38,321.74 × 9,750.25
  4. Step 4: Simplify right side
    25,540.48x = 373,646,545.44
  5. Step 5: Solve for x
    x = 373,646,545.44/25,540.48
  6. Step 6: Final answer
    x = 14,629.58

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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.