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Finding the Fourth Proportional to 22,207.64, 33,320.69 and 9,721.24

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Solution

The fourth proportional to 22,207.64, 33,320.69 and 9,721.24 is: 14,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.64 : 33,320.69 = 9,721.24 : x
  2. Step 2: Convert to fraction form
    22,207.64/33,320.69 = 9,721.24/x
  3. Step 3: Cross multiply
    22,207.64x = 33,320.69 × 9,721.24
  4. Step 4: Simplify right side
    22,207.64x = 323,918,450.06
  5. Step 5: Solve for x
    x = 323,918,450.06/22,207.64
  6. Step 6: Final answer
    x = 14,585.90

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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.