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Finding the Fourth Proportional to 25,796.67, 38,696.21 and 8,266.65

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Solution

The fourth proportional to 25,796.67, 38,696.21 and 8,266.65 is: 12,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.67 : 38,696.21 = 8,266.65 : x
  2. Step 2: Convert to fraction form
    25,796.67/38,696.21 = 8,266.65/x
  3. Step 3: Cross multiply
    25,796.67x = 38,696.21 × 8,266.65
  4. Step 4: Simplify right side
    25,796.67x = 319,888,024.40
  5. Step 5: Solve for x
    x = 319,888,024.40/25,796.67
  6. Step 6: Final answer
    x = 12,400.36

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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.