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Finding the Fourth Proportional to 24,649.92, 36,973.44 and 7,119.36

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Solution

The fourth proportional to 24,649.92, 36,973.44 and 7,119.36 is: 10,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.92 : 36,973.44 = 7,119.36 : x
  2. Step 2: Convert to fraction form
    24,649.92/36,973.44 = 7,119.36/x
  3. Step 3: Cross multiply
    24,649.92x = 36,973.44 × 7,119.36
  4. Step 4: Simplify right side
    24,649.92x = 263,227,229.80
  5. Step 5: Solve for x
    x = 263,227,229.80/24,649.92
  6. Step 6: Final answer
    x = 10,678.62

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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.