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Finding the Fourth Proportional to 25,196.38, 37,800.04 and 7,665.75

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Solution

The fourth proportional to 25,196.38, 37,800.04 and 7,665.75 is: 11,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.38 : 37,800.04 = 7,665.75 : x
  2. Step 2: Convert to fraction form
    25,196.38/37,800.04 = 7,665.75/x
  3. Step 3: Cross multiply
    25,196.38x = 37,800.04 × 7,665.75
  4. Step 4: Simplify right side
    25,196.38x = 289,765,618.30
  5. Step 5: Solve for x
    x = 289,765,618.30/25,196.38
  6. Step 6: Final answer
    x = 11,500.29

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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.