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Finding the Fourth Proportional to 24,843.69, 37,265.81 and 7,313.85

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Solution

The fourth proportional to 24,843.69, 37,265.81 and 7,313.85 is: 10,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.69 : 37,265.81 = 7,313.85 : x
  2. Step 2: Convert to fraction form
    24,843.69/37,265.81 = 7,313.85/x
  3. Step 3: Cross multiply
    24,843.69x = 37,265.81 × 7,313.85
  4. Step 4: Simplify right side
    24,843.69x = 272,556,507.90
  5. Step 5: Solve for x
    x = 272,556,507.90/24,843.69
  6. Step 6: Final answer
    x = 10,970.85

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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.