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Finding the Fourth Proportional to 25,425.96, 38,138.82 and 6,450.60

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Solution

The fourth proportional to 25,425.96, 38,138.82 and 6,450.60 is: 9,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.96 : 38,138.82 = 6,450.60 : x
  2. Step 2: Convert to fraction form
    25,425.96/38,138.82 = 6,450.60/x
  3. Step 3: Cross multiply
    25,425.96x = 38,138.82 × 6,450.60
  4. Step 4: Simplify right side
    25,425.96x = 246,018,272.29
  5. Step 5: Solve for x
    x = 246,018,272.29/25,425.96
  6. Step 6: Final answer
    x = 9,675.87

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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.