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Finding the Fourth Proportional to 16,214.83, 22,377.51 and 9,141.71

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Solution

The fourth proportional to 16,214.83, 22,377.51 and 9,141.71 is: 12,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.83 : 22,377.51 = 9,141.71 : x
  2. Step 2: Convert to fraction form
    16,214.83/22,377.51 = 9,141.71/x
  3. Step 3: Cross multiply
    16,214.83x = 22,377.51 × 9,141.71
  4. Step 4: Simplify right side
    16,214.83x = 204,568,595.05
  5. Step 5: Solve for x
    x = 204,568,595.05/16,214.83
  6. Step 6: Final answer
    x = 12,616.14

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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.