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Finding the Fourth Proportional to 24,471.05, 36,707.97 and 6,939.50

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Solution

The fourth proportional to 24,471.05, 36,707.97 and 6,939.50 is: 10,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.05 : 36,707.97 = 6,939.50 : x
  2. Step 2: Convert to fraction form
    24,471.05/36,707.97 = 6,939.50/x
  3. Step 3: Cross multiply
    24,471.05x = 36,707.97 × 6,939.50
  4. Step 4: Simplify right side
    24,471.05x = 254,734,957.82
  5. Step 5: Solve for x
    x = 254,734,957.82/24,471.05
  6. Step 6: Final answer
    x = 10,409.65

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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.