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Finding the Fourth Proportional to 17,523.36, 24,182.82 and 9,566.37

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Solution

The fourth proportional to 17,523.36, 24,182.82 and 9,566.37 is: 13,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.36 : 24,182.82 = 9,566.37 : x
  2. Step 2: Convert to fraction form
    17,523.36/24,182.82 = 9,566.37/x
  3. Step 3: Cross multiply
    17,523.36x = 24,182.82 × 9,566.37
  4. Step 4: Simplify right side
    17,523.36x = 231,341,803.76
  5. Step 5: Solve for x
    x = 231,341,803.76/17,523.36
  6. Step 6: Final answer
    x = 13,201.91

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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.