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Finding the Fourth Proportional to 16,074.57, 22,183.02 and 9,701.49

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Solution

The fourth proportional to 16,074.57, 22,183.02 and 9,701.49 is: 13,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.57 : 22,183.02 = 9,701.49 : x
  2. Step 2: Convert to fraction form
    16,074.57/22,183.02 = 9,701.49/x
  3. Step 3: Cross multiply
    16,074.57x = 22,183.02 × 9,701.49
  4. Step 4: Simplify right side
    16,074.57x = 215,208,346.70
  5. Step 5: Solve for x
    x = 215,208,346.70/16,074.57
  6. Step 6: Final answer
    x = 13,388.12

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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.