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Finding the Fourth Proportional to 12,939.84, 17,838.90 and 10,942.38

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Solution

The fourth proportional to 12,939.84, 17,838.90 and 10,942.38 is: 15,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.84 : 17,838.90 = 10,942.38 : x
  2. Step 2: Convert to fraction form
    12,939.84/17,838.90 = 10,942.38/x
  3. Step 3: Cross multiply
    12,939.84x = 17,838.90 × 10,942.38
  4. Step 4: Simplify right side
    12,939.84x = 195,200,022.58
  5. Step 5: Solve for x
    x = 195,200,022.58/12,939.84
  6. Step 6: Final answer
    x = 15,085.20

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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.