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Finding the Fourth Proportional to 16,241.77, 24,363.24 and 8,342.16

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Solution

The fourth proportional to 16,241.77, 24,363.24 and 8,342.16 is: 12,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.77 : 24,363.24 = 8,342.16 : x
  2. Step 2: Convert to fraction form
    16,241.77/24,363.24 = 8,342.16/x
  3. Step 3: Cross multiply
    16,241.77x = 24,363.24 × 8,342.16
  4. Step 4: Simplify right side
    16,241.77x = 203,242,046.20
  5. Step 5: Solve for x
    x = 203,242,046.20/16,241.77
  6. Step 6: Final answer
    x = 12,513.54

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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.