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Finding the Fourth Proportional to 16,065.92, 22,175.97 and 10,102.70

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Solution

The fourth proportional to 16,065.92, 22,175.97 and 10,102.70 is: 13,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.92 : 22,175.97 = 10,102.70 : x
  2. Step 2: Convert to fraction form
    16,065.92/22,175.97 = 10,102.70/x
  3. Step 3: Cross multiply
    16,065.92x = 22,175.97 × 10,102.70
  4. Step 4: Simplify right side
    16,065.92x = 224,037,172.12
  5. Step 5: Solve for x
    x = 224,037,172.12/16,065.92
  6. Step 6: Final answer
    x = 13,944.87

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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.