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Finding the Fourth Proportional to 27,520.78, 37,982.88 and 22,199.08

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Solution

The fourth proportional to 27,520.78, 37,982.88 and 22,199.08 is: 30,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.78 : 37,982.88 = 22,199.08 : x
  2. Step 2: Convert to fraction form
    27,520.78/37,982.88 = 22,199.08/x
  3. Step 3: Cross multiply
    27,520.78x = 37,982.88 × 22,199.08
  4. Step 4: Simplify right side
    27,520.78x = 843,184,991.75
  5. Step 5: Solve for x
    x = 843,184,991.75/27,520.78
  6. Step 6: Final answer
    x = 30,638.12

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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.