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Finding the Fourth Proportional to 22,911.78, 31,542.12 and 20,549.82

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Solution

The fourth proportional to 22,911.78, 31,542.12 and 20,549.82 is: 28,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.78 : 31,542.12 = 20,549.82 : x
  2. Step 2: Convert to fraction form
    22,911.78/31,542.12 = 20,549.82/x
  3. Step 3: Cross multiply
    22,911.78x = 31,542.12 × 20,549.82
  4. Step 4: Simplify right side
    22,911.78x = 648,184,888.42
  5. Step 5: Solve for x
    x = 648,184,888.42/22,911.78
  6. Step 6: Final answer
    x = 28,290.46

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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.