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Finding the Fourth Proportional to 17,532.19, 24,194.46 and 9,574.21

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Solution

The fourth proportional to 17,532.19, 24,194.46 and 9,574.21 is: 13,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.19 : 24,194.46 = 9,574.21 : x
  2. Step 2: Convert to fraction form
    17,532.19/24,194.46 = 9,574.21/x
  3. Step 3: Cross multiply
    17,532.19x = 24,194.46 × 9,574.21
  4. Step 4: Simplify right side
    17,532.19x = 231,642,840.88
  5. Step 5: Solve for x
    x = 231,642,840.88/17,532.19
  6. Step 6: Final answer
    x = 13,212.43

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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.