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Finding the Fourth Proportional to 16,241.21, 22,412.80 and 9,167.48

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Solution

The fourth proportional to 16,241.21, 22,412.80 and 9,167.48 is: 12,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.21 : 22,412.80 = 9,167.48 : x
  2. Step 2: Convert to fraction form
    16,241.21/22,412.80 = 9,167.48/x
  3. Step 3: Cross multiply
    16,241.21x = 22,412.80 × 9,167.48
  4. Step 4: Simplify right side
    16,241.21x = 205,468,879.19
  5. Step 5: Solve for x
    x = 205,468,879.19/16,241.21
  6. Step 6: Final answer
    x = 12,651.08

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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.