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Finding the Fourth Proportional to 16,171.92, 24,258.44 and 4,486

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Solution

The fourth proportional to 16,171.92, 24,258.44 and 4,486 is: 6,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.92 : 24,258.44 = 4,486 : x
  2. Step 2: Convert to fraction form
    16,171.92/24,258.44 = 4,486/x
  3. Step 3: Cross multiply
    16,171.92x = 24,258.44 × 4,486
  4. Step 4: Simplify right side
    16,171.92x = 108,823,361.84
  5. Step 5: Solve for x
    x = 108,823,361.84/16,171.92
  6. Step 6: Final answer
    x = 6,729.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.