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Finding the Fourth Proportional to 16,294, 24,441.24 and 3,982

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Solution

The fourth proportional to 16,294, 24,441.24 and 3,982 is: 5,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 24,441.24 = 3,982 : x
  2. Step 2: Convert to fraction form
    16,294/24,441.24 = 3,982/x
  3. Step 3: Cross multiply
    16,294x = 24,441.24 × 3,982
  4. Step 4: Simplify right side
    16,294x = 97,325,017.68
  5. Step 5: Solve for x
    x = 97,325,017.68/16,294
  6. Step 6: Final answer
    x = 5,973.06

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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.