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Finding the Fourth Proportional to 17,533.72, 24,196.14 and 9,575.97

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Solution

The fourth proportional to 17,533.72, 24,196.14 and 9,575.97 is: 13,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.72 : 24,196.14 = 9,575.97 : x
  2. Step 2: Convert to fraction form
    17,533.72/24,196.14 = 9,575.97/x
  3. Step 3: Cross multiply
    17,533.72x = 24,196.14 × 9,575.97
  4. Step 4: Simplify right side
    17,533.72x = 231,701,583.06
  5. Step 5: Solve for x
    x = 231,701,583.06/17,533.72
  6. Step 6: Final answer
    x = 13,214.63

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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.