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Finding the Fourth Proportional to 17,372.25, 23,973.68 and 9,414.47

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Solution

The fourth proportional to 17,372.25, 23,973.68 and 9,414.47 is: 12,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,372.25 : 23,973.68 = 9,414.47 : x
  2. Step 2: Convert to fraction form
    17,372.25/23,973.68 = 9,414.47/x
  3. Step 3: Cross multiply
    17,372.25x = 23,973.68 × 9,414.47
  4. Step 4: Simplify right side
    17,372.25x = 225,699,574.62
  5. Step 5: Solve for x
    x = 225,699,574.62/17,372.25
  6. Step 6: Final answer
    x = 12,991.96

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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.