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Finding the Fourth Proportional to 27,915.90, 38,523.50 and 15,340.38

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Solution

The fourth proportional to 27,915.90, 38,523.50 and 15,340.38 is: 21,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.90 : 38,523.50 = 15,340.38 : x
  2. Step 2: Convert to fraction form
    27,915.90/38,523.50 = 15,340.38/x
  3. Step 3: Cross multiply
    27,915.90x = 38,523.50 × 15,340.38
  4. Step 4: Simplify right side
    27,915.90x = 590,965,128.93
  5. Step 5: Solve for x
    x = 590,965,128.93/27,915.90
  6. Step 6: Final answer
    x = 21,169.48

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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.