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Finding the Fourth Proportional to 27,882, 38,477.16 and 15,307.56

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Solution

The fourth proportional to 27,882, 38,477.16 and 15,307.56 is: 21,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 38,477.16 = 15,307.56 : x
  2. Step 2: Convert to fraction form
    27,882/38,477.16 = 15,307.56/x
  3. Step 3: Cross multiply
    27,882x = 38,477.16 × 15,307.56
  4. Step 4: Simplify right side
    27,882x = 588,991,435.33
  5. Step 5: Solve for x
    x = 588,991,435.33/27,882
  6. Step 6: Final answer
    x = 21,124.43

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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.