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Finding the Fourth Proportional to 16,217.84, 22,381.65 and 9,144.71

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Solution

The fourth proportional to 16,217.84, 22,381.65 and 9,144.71 is: 12,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.84 : 22,381.65 = 9,144.71 : x
  2. Step 2: Convert to fraction form
    16,217.84/22,381.65 = 9,144.71/x
  3. Step 3: Cross multiply
    16,217.84x = 22,381.65 × 9,144.71
  4. Step 4: Simplify right side
    16,217.84x = 204,673,586.66
  5. Step 5: Solve for x
    x = 204,673,586.66/16,217.84
  6. Step 6: Final answer
    x = 12,620.28

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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.