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Finding the Fourth Proportional to 17,532, 24,194.52 and 9,574.56

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Solution

The fourth proportional to 17,532, 24,194.52 and 9,574.56 is: 13,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 24,194.52 = 9,574.56 : x
  2. Step 2: Convert to fraction form
    17,532/24,194.52 = 9,574.56/x
  3. Step 3: Cross multiply
    17,532x = 24,194.52 × 9,574.56
  4. Step 4: Simplify right side
    17,532x = 231,651,883.41
  5. Step 5: Solve for x
    x = 231,651,883.41/17,532
  6. Step 6: Final answer
    x = 13,213.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.