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Finding the Fourth Proportional to 25,438.32, 38,157.66 and 7,907.76

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Solution

The fourth proportional to 25,438.32, 38,157.66 and 7,907.76 is: 11,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.32 : 38,157.66 = 7,907.76 : x
  2. Step 2: Convert to fraction form
    25,438.32/38,157.66 = 7,907.76/x
  3. Step 3: Cross multiply
    25,438.32x = 38,157.66 × 7,907.76
  4. Step 4: Simplify right side
    25,438.32x = 301,741,617.44
  5. Step 5: Solve for x
    x = 301,741,617.44/25,438.32
  6. Step 6: Final answer
    x = 11,861.70

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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.