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Finding the Fourth Proportional to 16,583.08, 22,884.96 and 9,029.64

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Solution

The fourth proportional to 16,583.08, 22,884.96 and 9,029.64 is: 12,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.08 : 22,884.96 = 9,029.64 : x
  2. Step 2: Convert to fraction form
    16,583.08/22,884.96 = 9,029.64/x
  3. Step 3: Cross multiply
    16,583.08x = 22,884.96 × 9,029.64
  4. Step 4: Simplify right side
    16,583.08x = 206,642,950.21
  5. Step 5: Solve for x
    x = 206,642,950.21/16,583.08
  6. Step 6: Final answer
    x = 12,461.07

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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.