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Finding the Fourth Proportional to 24,266.14, 36,399.09 and 9,476.56

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Solution

The fourth proportional to 24,266.14, 36,399.09 and 9,476.56 is: 14,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.14 : 36,399.09 = 9,476.56 : x
  2. Step 2: Convert to fraction form
    24,266.14/36,399.09 = 9,476.56/x
  3. Step 3: Cross multiply
    24,266.14x = 36,399.09 × 9,476.56
  4. Step 4: Simplify right side
    24,266.14x = 344,938,160.33
  5. Step 5: Solve for x
    x = 344,938,160.33/24,266.14
  6. Step 6: Final answer
    x = 14,214.79

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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.