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Finding the Fourth Proportional to 17,046.36, 23,523.34 and 9,493

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Solution

The fourth proportional to 17,046.36, 23,523.34 and 9,493 is: 13,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.36 : 23,523.34 = 9,493 : x
  2. Step 2: Convert to fraction form
    17,046.36/23,523.34 = 9,493/x
  3. Step 3: Cross multiply
    17,046.36x = 23,523.34 × 9,493
  4. Step 4: Simplify right side
    17,046.36x = 223,307,066.62
  5. Step 5: Solve for x
    x = 223,307,066.62/17,046.36
  6. Step 6: Final answer
    x = 13,099.99

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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.