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Finding the Fourth Proportional to 16,219.66, 22,381.23 and 9,145.66

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Solution

The fourth proportional to 16,219.66, 22,381.23 and 9,145.66 is: 12,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.66 : 22,381.23 = 9,145.66 : x
  2. Step 2: Convert to fraction form
    16,219.66/22,381.23 = 9,145.66/x
  3. Step 3: Cross multiply
    16,219.66x = 22,381.23 × 9,145.66
  4. Step 4: Simplify right side
    16,219.66x = 204,691,119.96
  5. Step 5: Solve for x
    x = 204,691,119.96/16,219.66
  6. Step 6: Final answer
    x = 12,619.94

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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.