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Finding the Fourth Proportional to 16,841.16, 23,241.46 and 9,389

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Solution

The fourth proportional to 16,841.16, 23,241.46 and 9,389 is: 12,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.16 : 23,241.46 = 9,389 : x
  2. Step 2: Convert to fraction form
    16,841.16/23,241.46 = 9,389/x
  3. Step 3: Cross multiply
    16,841.16x = 23,241.46 × 9,389
  4. Step 4: Simplify right side
    16,841.16x = 218,214,067.94
  5. Step 5: Solve for x
    x = 218,214,067.94/16,841.16
  6. Step 6: Final answer
    x = 12,957.19

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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.