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Finding the Fourth Proportional to 25,196.40, 37,796.40 and 7,666.14

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Solution

The fourth proportional to 25,196.40, 37,796.40 and 7,666.14 is: 11,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.40 : 37,796.40 = 7,666.14 : x
  2. Step 2: Convert to fraction form
    25,196.40/37,796.40 = 7,666.14/x
  3. Step 3: Cross multiply
    25,196.40x = 37,796.40 × 7,666.14
  4. Step 4: Simplify right side
    25,196.40x = 289,752,493.90
  5. Step 5: Solve for x
    x = 289,752,493.90/25,196.40
  6. Step 6: Final answer
    x = 11,499.76

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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.