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Finding the Fourth Proportional to 22,005.72, 30,367.62 and 11,934

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Solution

The fourth proportional to 22,005.72, 30,367.62 and 11,934 is: 16,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.72 : 30,367.62 = 11,934 : x
  2. Step 2: Convert to fraction form
    22,005.72/30,367.62 = 11,934/x
  3. Step 3: Cross multiply
    22,005.72x = 30,367.62 × 11,934
  4. Step 4: Simplify right side
    22,005.72x = 362,407,177.08
  5. Step 5: Solve for x
    x = 362,407,177.08/22,005.72
  6. Step 6: Final answer
    x = 16,468.77

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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.