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Finding the Fourth Proportional to 22,228.82, 33,352.56 and 9,742.40

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Solution

The fourth proportional to 22,228.82, 33,352.56 and 9,742.40 is: 14,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.82 : 33,352.56 = 9,742.40 : x
  2. Step 2: Convert to fraction form
    22,228.82/33,352.56 = 9,742.40/x
  3. Step 3: Cross multiply
    22,228.82x = 33,352.56 × 9,742.40
  4. Step 4: Simplify right side
    22,228.82x = 324,933,980.54
  5. Step 5: Solve for x
    x = 324,933,980.54/22,228.82
  6. Step 6: Final answer
    x = 14,617.69

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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.