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Finding the Fourth Proportional to 25,801.78, 38,700.15 and 8,266.90

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Solution

The fourth proportional to 25,801.78, 38,700.15 and 8,266.90 is: 12,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.78 : 38,700.15 = 8,266.90 : x
  2. Step 2: Convert to fraction form
    25,801.78/38,700.15 = 8,266.90/x
  3. Step 3: Cross multiply
    25,801.78x = 38,700.15 × 8,266.90
  4. Step 4: Simplify right side
    25,801.78x = 319,930,270.04
  5. Step 5: Solve for x
    x = 319,930,270.04/25,801.78
  6. Step 6: Final answer
    x = 12,399.54

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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.