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Finding the Fourth Proportional to 20,152.49, 30,229.02 and 7,005.11

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Solution

The fourth proportional to 20,152.49, 30,229.02 and 7,005.11 is: 10,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.49 : 30,229.02 = 7,005.11 : x
  2. Step 2: Convert to fraction form
    20,152.49/30,229.02 = 7,005.11/x
  3. Step 3: Cross multiply
    20,152.49x = 30,229.02 × 7,005.11
  4. Step 4: Simplify right side
    20,152.49x = 211,757,610.29
  5. Step 5: Solve for x
    x = 211,757,610.29/20,152.49
  6. Step 6: Final answer
    x = 10,507.76

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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.