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Finding the Fourth Proportional to 27,899.25, 38,500.97 and 15,324

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Solution

The fourth proportional to 27,899.25, 38,500.97 and 15,324 is: 21,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.25 : 38,500.97 = 15,324 : x
  2. Step 2: Convert to fraction form
    27,899.25/38,500.97 = 15,324/x
  3. Step 3: Cross multiply
    27,899.25x = 38,500.97 × 15,324
  4. Step 4: Simplify right side
    27,899.25x = 589,988,787.66
  5. Step 5: Solve for x
    x = 589,988,787.66/27,899.25
  6. Step 6: Final answer
    x = 21,147.12

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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.