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Finding the Fourth Proportional to 25,375.87, 38,069.40 and 7,605.82

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Solution

The fourth proportional to 25,375.87, 38,069.40 and 7,605.82 is: 11,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.87 : 38,069.40 = 7,605.82 : x
  2. Step 2: Convert to fraction form
    25,375.87/38,069.40 = 7,605.82/x
  3. Step 3: Cross multiply
    25,375.87x = 38,069.40 × 7,605.82
  4. Step 4: Simplify right side
    25,375.87x = 289,549,003.91
  5. Step 5: Solve for x
    x = 289,549,003.91/25,375.87
  6. Step 6: Final answer
    x = 11,410.41

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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.