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Finding the Fourth Proportional to 20,156.70, 30,235.05 and 7,844.70

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Solution

The fourth proportional to 20,156.70, 30,235.05 and 7,844.70 is: 11,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.70 : 30,235.05 = 7,844.70 : x
  2. Step 2: Convert to fraction form
    20,156.70/30,235.05 = 7,844.70/x
  3. Step 3: Cross multiply
    20,156.70x = 30,235.05 × 7,844.70
  4. Step 4: Simplify right side
    20,156.70x = 237,184,896.74
  5. Step 5: Solve for x
    x = 237,184,896.74/20,156.70
  6. Step 6: Final answer
    x = 11,767.05

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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.