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Finding the Fourth Proportional to 27,882.58, 38,477.99 and 15,135.76

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Solution

The fourth proportional to 27,882.58, 38,477.99 and 15,135.76 is: 20,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.58 : 38,477.99 = 15,135.76 : x
  2. Step 2: Convert to fraction form
    27,882.58/38,477.99 = 15,135.76/x
  3. Step 3: Cross multiply
    27,882.58x = 38,477.99 × 15,135.76
  4. Step 4: Simplify right side
    27,882.58x = 582,393,563.57
  5. Step 5: Solve for x
    x = 582,393,563.57/27,882.58
  6. Step 6: Final answer
    x = 20,887.36

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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.