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Finding the Fourth Proportional to 20,112.90, 30,169.35 and 9,744.90

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Solution

The fourth proportional to 20,112.90, 30,169.35 and 9,744.90 is: 14,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.90 : 30,169.35 = 9,744.90 : x
  2. Step 2: Convert to fraction form
    20,112.90/30,169.35 = 9,744.90/x
  3. Step 3: Cross multiply
    20,112.90x = 30,169.35 × 9,744.90
  4. Step 4: Simplify right side
    20,112.90x = 293,997,298.82
  5. Step 5: Solve for x
    x = 293,997,298.82/20,112.90
  6. Step 6: Final answer
    x = 14,617.35

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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.