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Finding the Fourth Proportional to 16,542.40, 24,817.20 and 5,447.20

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Solution

The fourth proportional to 16,542.40, 24,817.20 and 5,447.20 is: 8,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.40 : 24,817.20 = 5,447.20 : x
  2. Step 2: Convert to fraction form
    16,542.40/24,817.20 = 5,447.20/x
  3. Step 3: Cross multiply
    16,542.40x = 24,817.20 × 5,447.20
  4. Step 4: Simplify right side
    16,542.40x = 135,184,251.84
  5. Step 5: Solve for x
    x = 135,184,251.84/16,542.40
  6. Step 6: Final answer
    x = 8,171.99

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1.5x scale

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.