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Finding the Fourth Proportional to 17,046.21, 23,530.20 and 9,974.91

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Solution

The fourth proportional to 17,046.21, 23,530.20 and 9,974.91 is: 13,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.21 : 23,530.20 = 9,974.91 : x
  2. Step 2: Convert to fraction form
    17,046.21/23,530.20 = 9,974.91/x
  3. Step 3: Cross multiply
    17,046.21x = 23,530.20 × 9,974.91
  4. Step 4: Simplify right side
    17,046.21x = 234,711,627.28
  5. Step 5: Solve for x
    x = 234,711,627.28/17,046.21
  6. Step 6: Final answer
    x = 13,769.14

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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.