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Finding the Fourth Proportional to 27,713.92, 38,243.36 and 15,775.68

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Solution

The fourth proportional to 27,713.92, 38,243.36 and 15,775.68 is: 21,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.92 : 38,243.36 = 15,775.68 : x
  2. Step 2: Convert to fraction form
    27,713.92/38,243.36 = 15,775.68/x
  3. Step 3: Cross multiply
    27,713.92x = 38,243.36 × 15,775.68
  4. Step 4: Simplify right side
    27,713.92x = 603,315,009.48
  5. Step 5: Solve for x
    x = 603,315,009.48/27,713.92
  6. Step 6: Final answer
    x = 21,769.39

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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.