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Finding the Fourth Proportional to 16,473.83, 22,733.89 and 8,920.16

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Solution

The fourth proportional to 16,473.83, 22,733.89 and 8,920.16 is: 12,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.83 : 22,733.89 = 8,920.16 : x
  2. Step 2: Convert to fraction form
    16,473.83/22,733.89 = 8,920.16/x
  3. Step 3: Cross multiply
    16,473.83x = 22,733.89 × 8,920.16
  4. Step 4: Simplify right side
    16,473.83x = 202,789,936.22
  5. Step 5: Solve for x
    x = 202,789,936.22/16,473.83
  6. Step 6: Final answer
    x = 12,309.82

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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.