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Finding the Fourth Proportional to 20,506.14, 30,759.20 and 14,674.14

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Solution

The fourth proportional to 20,506.14, 30,759.20 and 14,674.14 is: 22,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.14 : 30,759.20 = 14,674.14 : x
  2. Step 2: Convert to fraction form
    20,506.14/30,759.20 = 14,674.14/x
  3. Step 3: Cross multiply
    20,506.14x = 30,759.20 × 14,674.14
  4. Step 4: Simplify right side
    20,506.14x = 451,364,807.09
  5. Step 5: Solve for x
    x = 451,364,807.09/20,506.14
  6. Step 6: Final answer
    x = 22,011.20

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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.