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Finding the Fourth Proportional to 27,857.82, 38,417.68 and 22,211.34

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Solution

The fourth proportional to 27,857.82, 38,417.68 and 22,211.34 is: 30,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.82 : 38,417.68 = 22,211.34 : x
  2. Step 2: Convert to fraction form
    27,857.82/38,417.68 = 22,211.34/x
  3. Step 3: Cross multiply
    27,857.82x = 38,417.68 × 22,211.34
  4. Step 4: Simplify right side
    27,857.82x = 853,308,152.49
  5. Step 5: Solve for x
    x = 853,308,152.49/27,857.82
  6. Step 6: Final answer
    x = 30,630.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.