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Finding the Fourth Proportional to 25,907.27, 38,866.40 and 8,375.76

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Solution

The fourth proportional to 25,907.27, 38,866.40 and 8,375.76 is: 12,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.27 : 38,866.40 = 8,375.76 : x
  2. Step 2: Convert to fraction form
    25,907.27/38,866.40 = 8,375.76/x
  3. Step 3: Cross multiply
    25,907.27x = 38,866.40 × 8,375.76
  4. Step 4: Simplify right side
    25,907.27x = 325,535,596.59
  5. Step 5: Solve for x
    x = 325,535,596.59/25,907.27
  6. Step 6: Final answer
    x = 12,565.42

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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.