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Finding the Fourth Proportional to 25,907.46, 38,867.49 and 8,377.26

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Solution

The fourth proportional to 25,907.46, 38,867.49 and 8,377.26 is: 12,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907.46 : 38,867.49 = 8,377.26 : x
  2. Step 2: Convert to fraction form
    25,907.46/38,867.49 = 8,377.26/x
  3. Step 3: Cross multiply
    25,907.46x = 38,867.49 × 8,377.26
  4. Step 4: Simplify right side
    25,907.46x = 325,603,069.28
  5. Step 5: Solve for x
    x = 325,603,069.28/25,907.46
  6. Step 6: Final answer
    x = 12,567.93

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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.