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Finding the Fourth Proportional to 22,147.84, 30,590.48 and 16,169.92

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Solution

The fourth proportional to 22,147.84, 30,590.48 and 16,169.92 is: 22,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.84 : 30,590.48 = 16,169.92 : x
  2. Step 2: Convert to fraction form
    22,147.84/30,590.48 = 16,169.92/x
  3. Step 3: Cross multiply
    22,147.84x = 30,590.48 × 16,169.92
  4. Step 4: Simplify right side
    22,147.84x = 494,645,614.36
  5. Step 5: Solve for x
    x = 494,645,614.36/22,147.84
  6. Step 6: Final answer
    x = 22,333.81

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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.