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Finding the Fourth Proportional to 25,839.86, 38,758.50 and 7,120.05

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Solution

The fourth proportional to 25,839.86, 38,758.50 and 7,120.05 is: 10,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839.86 : 38,758.50 = 7,120.05 : x
  2. Step 2: Convert to fraction form
    25,839.86/38,758.50 = 7,120.05/x
  3. Step 3: Cross multiply
    25,839.86x = 38,758.50 × 7,120.05
  4. Step 4: Simplify right side
    25,839.86x = 275,962,530.60
  5. Step 5: Solve for x
    x = 275,962,530.60/25,839.86
  6. Step 6: Final answer
    x = 10,679.72

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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.