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Finding the Fourth Proportional to 27,661.50, 38,170.89 and 15,722.82

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Solution

The fourth proportional to 27,661.50, 38,170.89 and 15,722.82 is: 21,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.50 : 38,170.89 = 15,722.82 : x
  2. Step 2: Convert to fraction form
    27,661.50/38,170.89 = 15,722.82/x
  3. Step 3: Cross multiply
    27,661.50x = 38,170.89 × 15,722.82
  4. Step 4: Simplify right side
    27,661.50x = 600,154,032.71
  5. Step 5: Solve for x
    x = 600,154,032.71/27,661.50
  6. Step 6: Final answer
    x = 21,696.37

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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.