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Finding the Fourth Proportional to 19,841.42, 27,375.57 and 12,771.95

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Solution

The fourth proportional to 19,841.42, 27,375.57 and 12,771.95 is: 17,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.42 : 27,375.57 = 12,771.95 : x
  2. Step 2: Convert to fraction form
    19,841.42/27,375.57 = 12,771.95/x
  3. Step 3: Cross multiply
    19,841.42x = 27,375.57 × 12,771.95
  4. Step 4: Simplify right side
    19,841.42x = 349,639,274.38
  5. Step 5: Solve for x
    x = 349,639,274.38/19,841.42
  6. Step 6: Final answer
    x = 17,621.68

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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.