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Finding the Fourth Proportional to 20,049.62, 30,065.64 and 9,522.65

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Solution

The fourth proportional to 20,049.62, 30,065.64 and 9,522.65 is: 14,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.62 : 30,065.64 = 9,522.65 : x
  2. Step 2: Convert to fraction form
    20,049.62/30,065.64 = 9,522.65/x
  3. Step 3: Cross multiply
    20,049.62x = 30,065.64 × 9,522.65
  4. Step 4: Simplify right side
    20,049.62x = 286,304,416.42
  5. Step 5: Solve for x
    x = 286,304,416.42/20,049.62
  6. Step 6: Final answer
    x = 14,279.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.