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Finding the Fourth Proportional to 25,710.54, 38,563.38 and 8,177.28

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Solution

The fourth proportional to 25,710.54, 38,563.38 and 8,177.28 is: 12,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.54 : 38,563.38 = 8,177.28 : x
  2. Step 2: Convert to fraction form
    25,710.54/38,563.38 = 8,177.28/x
  3. Step 3: Cross multiply
    25,710.54x = 38,563.38 × 8,177.28
  4. Step 4: Simplify right side
    25,710.54x = 315,343,556.01
  5. Step 5: Solve for x
    x = 315,343,556.01/25,710.54
  6. Step 6: Final answer
    x = 12,265.15

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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.