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Finding the Fourth Proportional to 20,000.84, 30,019.52 and 10,146.92

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Solution

The fourth proportional to 20,000.84, 30,019.52 and 10,146.92 is: 15,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.84 : 30,019.52 = 10,146.92 : x
  2. Step 2: Convert to fraction form
    20,000.84/30,019.52 = 10,146.92/x
  3. Step 3: Cross multiply
    20,000.84x = 30,019.52 × 10,146.92
  4. Step 4: Simplify right side
    20,000.84x = 304,605,667.88
  5. Step 5: Solve for x
    x = 304,605,667.88/20,000.84
  6. Step 6: Final answer
    x = 15,229.64

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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.