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Finding the Fourth Proportional to 20,114.80, 30,160.08 and 9,019.48

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Solution

The fourth proportional to 20,114.80, 30,160.08 and 9,019.48 is: 13,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.80 : 30,160.08 = 9,019.48 : x
  2. Step 2: Convert to fraction form
    20,114.80/30,160.08 = 9,019.48/x
  3. Step 3: Cross multiply
    20,114.80x = 30,160.08 × 9,019.48
  4. Step 4: Simplify right side
    20,114.80x = 272,028,238.36
  5. Step 5: Solve for x
    x = 272,028,238.36/20,114.80
  6. Step 6: Final answer
    x = 13,523.79

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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.