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Finding the Fourth Proportional to 16,542.27, 22,829.34 and 9,468.54

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Solution

The fourth proportional to 16,542.27, 22,829.34 and 9,468.54 is: 13,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.27 : 22,829.34 = 9,468.54 : x
  2. Step 2: Convert to fraction form
    16,542.27/22,829.34 = 9,468.54/x
  3. Step 3: Cross multiply
    16,542.27x = 22,829.34 × 9,468.54
  4. Step 4: Simplify right side
    16,542.27x = 216,160,518.96
  5. Step 5: Solve for x
    x = 216,160,518.96/16,542.27
  6. Step 6: Final answer
    x = 13,067.16

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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.