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Finding the Fourth Proportional to 17,622.62, 24,319.24 and 9,664.90

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Solution

The fourth proportional to 17,622.62, 24,319.24 and 9,664.90 is: 13,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.62 : 24,319.24 = 9,664.90 : x
  2. Step 2: Convert to fraction form
    17,622.62/24,319.24 = 9,664.90/x
  3. Step 3: Cross multiply
    17,622.62x = 24,319.24 × 9,664.90
  4. Step 4: Simplify right side
    17,622.62x = 235,043,022.68
  5. Step 5: Solve for x
    x = 235,043,022.68/17,622.62
  6. Step 6: Final answer
    x = 13,337.58

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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.