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Finding the Fourth Proportional to 18,589.74, 25,654.42 and 10,206.42

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Solution

The fourth proportional to 18,589.74, 25,654.42 and 10,206.42 is: 14,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.74 : 25,654.42 = 10,206.42 : x
  2. Step 2: Convert to fraction form
    18,589.74/25,654.42 = 10,206.42/x
  3. Step 3: Cross multiply
    18,589.74x = 25,654.42 × 10,206.42
  4. Step 4: Simplify right side
    18,589.74x = 261,839,785.38
  5. Step 5: Solve for x
    x = 261,839,785.38/18,589.74
  6. Step 6: Final answer
    x = 14,085.18

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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.