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Finding the Fourth Proportional to 24,667.80, 37,021.14 and 9,096.36

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Solution

The fourth proportional to 24,667.80, 37,021.14 and 9,096.36 is: 13,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.80 : 37,021.14 = 9,096.36 : x
  2. Step 2: Convert to fraction form
    24,667.80/37,021.14 = 9,096.36/x
  3. Step 3: Cross multiply
    24,667.80x = 37,021.14 × 9,096.36
  4. Step 4: Simplify right side
    24,667.80x = 336,757,617.05
  5. Step 5: Solve for x
    x = 336,757,617.05/24,667.80
  6. Step 6: Final answer
    x = 13,651.71

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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.