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Finding the Fourth Proportional to 18,661.57, 25,753.24 and 10,164.08

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Solution

The fourth proportional to 18,661.57, 25,753.24 and 10,164.08 is: 14,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.57 : 25,753.24 = 10,164.08 : x
  2. Step 2: Convert to fraction form
    18,661.57/25,753.24 = 10,164.08/x
  3. Step 3: Cross multiply
    18,661.57x = 25,753.24 × 10,164.08
  4. Step 4: Simplify right side
    18,661.57x = 261,757,991.62
  5. Step 5: Solve for x
    x = 261,757,991.62/18,661.57
  6. Step 6: Final answer
    x = 14,026.58

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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.