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Finding the Fourth Proportional to 22,358.64, 33,544.98 and 9,217.20

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Solution

The fourth proportional to 22,358.64, 33,544.98 and 9,217.20 is: 13,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.64 : 33,544.98 = 9,217.20 : x
  2. Step 2: Convert to fraction form
    22,358.64/33,544.98 = 9,217.20/x
  3. Step 3: Cross multiply
    22,358.64x = 33,544.98 × 9,217.20
  4. Step 4: Simplify right side
    22,358.64x = 309,190,789.66
  5. Step 5: Solve for x
    x = 309,190,789.66/22,358.64
  6. Step 6: Final answer
    x = 13,828.69

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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.