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Finding the Fourth Proportional to 21,839.68, 30,135.72 and 12,278.23

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Solution

The fourth proportional to 21,839.68, 30,135.72 and 12,278.23 is: 16,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839.68 : 30,135.72 = 12,278.23 : x
  2. Step 2: Convert to fraction form
    21,839.68/30,135.72 = 12,278.23/x
  3. Step 3: Cross multiply
    21,839.68x = 30,135.72 × 12,278.23
  4. Step 4: Simplify right side
    21,839.68x = 370,013,301.38
  5. Step 5: Solve for x
    x = 370,013,301.38/21,839.68
  6. Step 6: Final answer
    x = 16,942.25

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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.