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Finding the Fourth Proportional to 27,713.91, 38,243.43 and 15,138.66

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Solution

The fourth proportional to 27,713.91, 38,243.43 and 15,138.66 is: 20,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.91 : 38,243.43 = 15,138.66 : x
  2. Step 2: Convert to fraction form
    27,713.91/38,243.43 = 15,138.66/x
  3. Step 3: Cross multiply
    27,713.91x = 38,243.43 × 15,138.66
  4. Step 4: Simplify right side
    27,713.91x = 578,954,284.00
  5. Step 5: Solve for x
    x = 578,954,284.00/27,713.91
  6. Step 6: Final answer
    x = 20,890.39

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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.