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Finding the Fourth Proportional to 16,581.94, 22,884.69 and 12,382.90

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Solution

The fourth proportional to 16,581.94, 22,884.69 and 12,382.90 is: 17,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.94 : 22,884.69 = 12,382.90 : x
  2. Step 2: Convert to fraction form
    16,581.94/22,884.69 = 12,382.90/x
  3. Step 3: Cross multiply
    16,581.94x = 22,884.69 × 12,382.90
  4. Step 4: Simplify right side
    16,581.94x = 283,378,827.80
  5. Step 5: Solve for x
    x = 283,378,827.80/16,581.94
  6. Step 6: Final answer
    x = 17,089.61

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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.