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Finding the Fourth Proportional to 16,142.77, 24,221.34 and 8,241.11

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Solution

The fourth proportional to 16,142.77, 24,221.34 and 8,241.11 is: 12,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.77 : 24,221.34 = 8,241.11 : x
  2. Step 2: Convert to fraction form
    16,142.77/24,221.34 = 8,241.11/x
  3. Step 3: Cross multiply
    16,142.77x = 24,221.34 × 8,241.11
  4. Step 4: Simplify right side
    16,142.77x = 199,610,606.18
  5. Step 5: Solve for x
    x = 199,610,606.18/16,142.77
  6. Step 6: Final answer
    x = 12,365.33

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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.