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Finding the Fourth Proportional to 16,002.09, 22,082.78 and 8,734.19

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Solution

The fourth proportional to 16,002.09, 22,082.78 and 8,734.19 is: 12,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.09 : 22,082.78 = 8,734.19 : x
  2. Step 2: Convert to fraction form
    16,002.09/22,082.78 = 8,734.19/x
  3. Step 3: Cross multiply
    16,002.09x = 22,082.78 × 8,734.19
  4. Step 4: Simplify right side
    16,002.09x = 192,875,107.67
  5. Step 5: Solve for x
    x = 192,875,107.67/16,002.09
  6. Step 6: Final answer
    x = 12,053.12

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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.