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Finding the Fourth Proportional to 25,575.72, 38,365.14 and 8,046.12

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Solution

The fourth proportional to 25,575.72, 38,365.14 and 8,046.12 is: 12,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575.72 : 38,365.14 = 8,046.12 : x
  2. Step 2: Convert to fraction form
    25,575.72/38,365.14 = 8,046.12/x
  3. Step 3: Cross multiply
    25,575.72x = 38,365.14 × 8,046.12
  4. Step 4: Simplify right side
    25,575.72x = 308,690,520.26
  5. Step 5: Solve for x
    x = 308,690,520.26/25,575.72
  6. Step 6: Final answer
    x = 12,069.67

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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.