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Finding the Fourth Proportional to 16,193.10, 22,346.10 and 9,119.55

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Solution

The fourth proportional to 16,193.10, 22,346.10 and 9,119.55 is: 12,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.10 : 22,346.10 = 9,119.55 : x
  2. Step 2: Convert to fraction form
    16,193.10/22,346.10 = 9,119.55/x
  3. Step 3: Cross multiply
    16,193.10x = 22,346.10 × 9,119.55
  4. Step 4: Simplify right side
    16,193.10x = 203,786,376.26
  5. Step 5: Solve for x
    x = 203,786,376.26/16,193.10
  6. Step 6: Final answer
    x = 12,584.77

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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.