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Finding the Fourth Proportional to 17,548.86, 24,217.37 and 9,591.08

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Solution

The fourth proportional to 17,548.86, 24,217.37 and 9,591.08 is: 13,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.86 : 24,217.37 = 9,591.08 : x
  2. Step 2: Convert to fraction form
    17,548.86/24,217.37 = 9,591.08/x
  3. Step 3: Cross multiply
    17,548.86x = 24,217.37 × 9,591.08
  4. Step 4: Simplify right side
    17,548.86x = 232,270,733.06
  5. Step 5: Solve for x
    x = 232,270,733.06/17,548.86
  6. Step 6: Final answer
    x = 13,235.66

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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.