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Finding the Fourth Proportional to 17,531.64, 24,194.16 and 9,574.74

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Solution

The fourth proportional to 17,531.64, 24,194.16 and 9,574.74 is: 13,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.64 : 24,194.16 = 9,574.74 : x
  2. Step 2: Convert to fraction form
    17,531.64/24,194.16 = 9,574.74/x
  3. Step 3: Cross multiply
    17,531.64x = 24,194.16 × 9,574.74
  4. Step 4: Simplify right side
    17,531.64x = 231,652,791.52
  5. Step 5: Solve for x
    x = 231,652,791.52/17,531.64
  6. Step 6: Final answer
    x = 13,213.41

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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.