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Finding the Fourth Proportional to 25,209.70, 37,814.56 and 7,679.53

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Solution

The fourth proportional to 25,209.70, 37,814.56 and 7,679.53 is: 11,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209.70 : 37,814.56 = 7,679.53 : x
  2. Step 2: Convert to fraction form
    25,209.70/37,814.56 = 7,679.53/x
  3. Step 3: Cross multiply
    25,209.70x = 37,814.56 × 7,679.53
  4. Step 4: Simplify right side
    25,209.70x = 290,398,076.03
  5. Step 5: Solve for x
    x = 290,398,076.03/25,209.70
  6. Step 6: Final answer
    x = 11,519.30

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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.