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Finding the Fourth Proportional to 25,627.42, 38,440.90 and 8,097.25

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Solution

The fourth proportional to 25,627.42, 38,440.90 and 8,097.25 is: 12,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627.42 : 38,440.90 = 8,097.25 : x
  2. Step 2: Convert to fraction form
    25,627.42/38,440.90 = 8,097.25/x
  3. Step 3: Cross multiply
    25,627.42x = 38,440.90 × 8,097.25
  4. Step 4: Simplify right side
    25,627.42x = 311,265,577.53
  5. Step 5: Solve for x
    x = 311,265,577.53/25,627.42
  6. Step 6: Final answer
    x = 12,145.80

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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.