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Finding the Fourth Proportional to 16,217.82, 22,381.65 and 9,144.63

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Solution

The fourth proportional to 16,217.82, 22,381.65 and 9,144.63 is: 12,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.82 : 22,381.65 = 9,144.63 : x
  2. Step 2: Convert to fraction form
    16,217.82/22,381.65 = 9,144.63/x
  3. Step 3: Cross multiply
    16,217.82x = 22,381.65 × 9,144.63
  4. Step 4: Simplify right side
    16,217.82x = 204,671,908.04
  5. Step 5: Solve for x
    x = 204,671,908.04/16,217.82
  6. Step 6: Final answer
    x = 12,620.19

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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.