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Finding the Fourth Proportional to 24,918.73, 37,371.72 and 7,384.47

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Solution

The fourth proportional to 24,918.73, 37,371.72 and 7,384.47 is: 11,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918.73 : 37,371.72 = 7,384.47 : x
  2. Step 2: Convert to fraction form
    24,918.73/37,371.72 = 7,384.47/x
  3. Step 3: Cross multiply
    24,918.73x = 37,371.72 × 7,384.47
  4. Step 4: Simplify right side
    24,918.73x = 275,970,345.19
  5. Step 5: Solve for x
    x = 275,970,345.19/24,918.73
  6. Step 6: Final answer
    x = 11,074.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.