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Finding the Fourth Proportional to 27,716.64, 38,250 and 15,141.48

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Solution

The fourth proportional to 27,716.64, 38,250 and 15,141.48 is: 20,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.64 : 38,250 = 15,141.48 : x
  2. Step 2: Convert to fraction form
    27,716.64/38,250 = 15,141.48/x
  3. Step 3: Cross multiply
    27,716.64x = 38,250 × 15,141.48
  4. Step 4: Simplify right side
    27,716.64x = 579,161,610
  5. Step 5: Solve for x
    x = 579,161,610/27,716.64
  6. Step 6: Final answer
    x = 20,895.81

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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.