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Finding the Fourth Proportional to 22,133.25, 33,221.75 and 11,745

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Solution

The fourth proportional to 22,133.25, 33,221.75 and 11,745 is: 17,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.25 : 33,221.75 = 11,745 : x
  2. Step 2: Convert to fraction form
    22,133.25/33,221.75 = 11,745/x
  3. Step 3: Cross multiply
    22,133.25x = 33,221.75 × 11,745
  4. Step 4: Simplify right side
    22,133.25x = 390,189,395.03
  5. Step 5: Solve for x
    x = 390,189,395.03/22,133.25
  6. Step 6: Final answer
    x = 17,629.11

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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.