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Finding the Fourth Proportional to 22,143.84, 30,584.96 and 16,165.92

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Solution

The fourth proportional to 22,143.84, 30,584.96 and 16,165.92 is: 22,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.84 : 30,584.96 = 16,165.92 : x
  2. Step 2: Convert to fraction form
    22,143.84/30,584.96 = 16,165.92/x
  3. Step 3: Cross multiply
    22,143.84x = 30,584.96 × 16,165.92
  4. Step 4: Simplify right side
    22,143.84x = 494,434,016.56
  5. Step 5: Solve for x
    x = 494,434,016.56/22,143.84
  6. Step 6: Final answer
    x = 22,328.29

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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.