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Finding the Fourth Proportional to 27,615.78, 38,122.74 and 16,281.72

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Solution

The fourth proportional to 27,615.78, 38,122.74 and 16,281.72 is: 22,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.78 : 38,122.74 = 16,281.72 : x
  2. Step 2: Convert to fraction form
    27,615.78/38,122.74 = 16,281.72/x
  3. Step 3: Cross multiply
    27,615.78x = 38,122.74 × 16,281.72
  4. Step 4: Simplify right side
    27,615.78x = 620,703,778.31
  5. Step 5: Solve for x
    x = 620,703,778.31/27,615.78
  6. Step 6: Final answer
    x = 22,476.42

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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.