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Finding the Fourth Proportional to 17,546.23, 24,214.49 and 9,588.79

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Solution

The fourth proportional to 17,546.23, 24,214.49 and 9,588.79 is: 13,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.23 : 24,214.49 = 9,588.79 : x
  2. Step 2: Convert to fraction form
    17,546.23/24,214.49 = 9,588.79/x
  3. Step 3: Cross multiply
    17,546.23x = 24,214.49 × 9,588.79
  4. Step 4: Simplify right side
    17,546.23x = 232,187,659.57
  5. Step 5: Solve for x
    x = 232,187,659.57/17,546.23
  6. Step 6: Final answer
    x = 13,232.91

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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.