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Finding the Fourth Proportional to 25,618.50, 38,434.23 and 7,150.50

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Solution

The fourth proportional to 25,618.50, 38,434.23 and 7,150.50 is: 10,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618.50 : 38,434.23 = 7,150.50 : x
  2. Step 2: Convert to fraction form
    25,618.50/38,434.23 = 7,150.50/x
  3. Step 3: Cross multiply
    25,618.50x = 38,434.23 × 7,150.50
  4. Step 4: Simplify right side
    25,618.50x = 274,823,961.62
  5. Step 5: Solve for x
    x = 274,823,961.62/25,618.50
  6. Step 6: Final answer
    x = 10,727.56

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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.