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Finding the Fourth Proportional to 25,770.32, 38,651.80 and 8,237.84

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Solution

The fourth proportional to 25,770.32, 38,651.80 and 8,237.84 is: 12,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.32 : 38,651.80 = 8,237.84 : x
  2. Step 2: Convert to fraction form
    25,770.32/38,651.80 = 8,237.84/x
  3. Step 3: Cross multiply
    25,770.32x = 38,651.80 × 8,237.84
  4. Step 4: Simplify right side
    25,770.32x = 318,407,344.11
  5. Step 5: Solve for x
    x = 318,407,344.11/25,770.32
  6. Step 6: Final answer
    x = 12,355.58

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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.