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Finding the Fourth Proportional to 24,378.30, 33,644.79 and 20,392.38

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Solution

The fourth proportional to 24,378.30, 33,644.79 and 20,392.38 is: 28,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.30 : 33,644.79 = 20,392.38 : x
  2. Step 2: Convert to fraction form
    24,378.30/33,644.79 = 20,392.38/x
  3. Step 3: Cross multiply
    24,378.30x = 33,644.79 × 20,392.38
  4. Step 4: Simplify right side
    24,378.30x = 686,097,342.70
  5. Step 5: Solve for x
    x = 686,097,342.70/24,378.30
  6. Step 6: Final answer
    x = 28,143.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.