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Finding the Fourth Proportional to 17,523.08, 24,182.19 and 9,566

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Solution

The fourth proportional to 17,523.08, 24,182.19 and 9,566 is: 13,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.08 : 24,182.19 = 9,566 : x
  2. Step 2: Convert to fraction form
    17,523.08/24,182.19 = 9,566/x
  3. Step 3: Cross multiply
    17,523.08x = 24,182.19 × 9,566
  4. Step 4: Simplify right side
    17,523.08x = 231,326,829.54
  5. Step 5: Solve for x
    x = 231,326,829.54/17,523.08
  6. Step 6: Final answer
    x = 13,201.27

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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.