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Finding the Fourth Proportional to 16,583.43, 22,884.92 and 9,029.67

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Solution

The fourth proportional to 16,583.43, 22,884.92 and 9,029.67 is: 12,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.43 : 22,884.92 = 9,029.67 : x
  2. Step 2: Convert to fraction form
    16,583.43/22,884.92 = 9,029.67/x
  3. Step 3: Cross multiply
    16,583.43x = 22,884.92 × 9,029.67
  4. Step 4: Simplify right side
    16,583.43x = 206,643,350.11
  5. Step 5: Solve for x
    x = 206,643,350.11/16,583.43
  6. Step 6: Final answer
    x = 12,460.83

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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.