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Finding the Fourth Proportional to 16,193.56, 22,346.90 and 9,120.68

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Solution

The fourth proportional to 16,193.56, 22,346.90 and 9,120.68 is: 12,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.56 : 22,346.90 = 9,120.68 : x
  2. Step 2: Convert to fraction form
    16,193.56/22,346.90 = 9,120.68/x
  3. Step 3: Cross multiply
    16,193.56x = 22,346.90 × 9,120.68
  4. Step 4: Simplify right side
    16,193.56x = 203,818,923.89
  5. Step 5: Solve for x
    x = 203,818,923.89/16,193.56
  6. Step 6: Final answer
    x = 12,586.42

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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.