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Finding the Fourth Proportional to 20,249.84, 27,946.02 and 11,297.36

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Solution

The fourth proportional to 20,249.84, 27,946.02 and 11,297.36 is: 15,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.84 : 27,946.02 = 11,297.36 : x
  2. Step 2: Convert to fraction form
    20,249.84/27,946.02 = 11,297.36/x
  3. Step 3: Cross multiply
    20,249.84x = 27,946.02 × 11,297.36
  4. Step 4: Simplify right side
    20,249.84x = 315,716,248.51
  5. Step 5: Solve for x
    x = 315,716,248.51/20,249.84
  6. Step 6: Final answer
    x = 15,591.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.