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Finding the Fourth Proportional to 22,309.80, 33,416.10 and 19,847.40

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Solution

The fourth proportional to 22,309.80, 33,416.10 and 19,847.40 is: 29,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.80 : 33,416.10 = 19,847.40 : x
  2. Step 2: Convert to fraction form
    22,309.80/33,416.10 = 19,847.40/x
  3. Step 3: Cross multiply
    22,309.80x = 33,416.10 × 19,847.40
  4. Step 4: Simplify right side
    22,309.80x = 663,222,703.14
  5. Step 5: Solve for x
    x = 663,222,703.14/22,309.80
  6. Step 6: Final answer
    x = 29,727.86

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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.