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Finding the Fourth Proportional to 27,843.75, 38,424.38 and 15,268.50

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Solution

The fourth proportional to 27,843.75, 38,424.38 and 15,268.50 is: 21,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.75 : 38,424.38 = 15,268.50 : x
  2. Step 2: Convert to fraction form
    27,843.75/38,424.38 = 15,268.50/x
  3. Step 3: Cross multiply
    27,843.75x = 38,424.38 × 15,268.50
  4. Step 4: Simplify right side
    27,843.75x = 586,682,569.69
  5. Step 5: Solve for x
    x = 586,682,569.69/27,843.75
  6. Step 6: Final answer
    x = 21,070.53

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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.