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Finding the Fourth Proportional to 24,763.92, 37,147.14 and 7,233.90

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Solution

The fourth proportional to 24,763.92, 37,147.14 and 7,233.90 is: 10,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.92 : 37,147.14 = 7,233.90 : x
  2. Step 2: Convert to fraction form
    24,763.92/37,147.14 = 7,233.90/x
  3. Step 3: Cross multiply
    24,763.92x = 37,147.14 × 7,233.90
  4. Step 4: Simplify right side
    24,763.92x = 268,718,696.05
  5. Step 5: Solve for x
    x = 268,718,696.05/24,763.92
  6. Step 6: Final answer
    x = 10,851.22

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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.