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Finding the Fourth Proportional to 16,241.60, 22,412.96 and 9,167.96

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Solution

The fourth proportional to 16,241.60, 22,412.96 and 9,167.96 is: 12,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.60 : 22,412.96 = 9,167.96 : x
  2. Step 2: Convert to fraction form
    16,241.60/22,412.96 = 9,167.96/x
  3. Step 3: Cross multiply
    16,241.60x = 22,412.96 × 9,167.96
  4. Step 4: Simplify right side
    16,241.60x = 205,480,962.86
  5. Step 5: Solve for x
    x = 205,480,962.86/16,241.60
  6. Step 6: Final answer
    x = 12,651.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.