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Finding the Fourth Proportional to 19,823.38, 27,357.09 and 10,871.22

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Solution

The fourth proportional to 19,823.38, 27,357.09 and 10,871.22 is: 15,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.38 : 27,357.09 = 10,871.22 : x
  2. Step 2: Convert to fraction form
    19,823.38/27,357.09 = 10,871.22/x
  3. Step 3: Cross multiply
    19,823.38x = 27,357.09 × 10,871.22
  4. Step 4: Simplify right side
    19,823.38x = 297,404,943.95
  5. Step 5: Solve for x
    x = 297,404,943.95/19,823.38
  6. Step 6: Final answer
    x = 15,002.74

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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.