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Finding the Fourth Proportional to 24,468, 36,703.83 and 6,939.24

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Solution

The fourth proportional to 24,468, 36,703.83 and 6,939.24 is: 10,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468 : 36,703.83 = 6,939.24 : x
  2. Step 2: Convert to fraction form
    24,468/36,703.83 = 6,939.24/x
  3. Step 3: Cross multiply
    24,468x = 36,703.83 × 6,939.24
  4. Step 4: Simplify right side
    24,468x = 254,696,685.29
  5. Step 5: Solve for x
    x = 254,696,685.29/24,468
  6. Step 6: Final answer
    x = 10,409.38

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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.