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Finding the Fourth Proportional to 17,531.64, 24,194.01 and 9,574.17

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Solution

The fourth proportional to 17,531.64, 24,194.01 and 9,574.17 is: 13,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.64 : 24,194.01 = 9,574.17 : x
  2. Step 2: Convert to fraction form
    17,531.64/24,194.01 = 9,574.17/x
  3. Step 3: Cross multiply
    17,531.64x = 24,194.01 × 9,574.17
  4. Step 4: Simplify right side
    17,531.64x = 231,637,564.72
  5. Step 5: Solve for x
    x = 231,637,564.72/17,531.64
  6. Step 6: Final answer
    x = 13,212.54

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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.