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Finding the Fourth Proportional to 27,881.78, 38,459.34 and 16,543.26

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Solution

The fourth proportional to 27,881.78, 38,459.34 and 16,543.26 is: 22,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.78 : 38,459.34 = 16,543.26 : x
  2. Step 2: Convert to fraction form
    27,881.78/38,459.34 = 16,543.26/x
  3. Step 3: Cross multiply
    27,881.78x = 38,459.34 × 16,543.26
  4. Step 4: Simplify right side
    27,881.78x = 636,242,861.05
  5. Step 5: Solve for x
    x = 636,242,861.05/27,881.78
  6. Step 6: Final answer
    x = 22,819.31

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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.