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Finding the Fourth Proportional to 17,538.22, 24,202.34 and 9,580.47

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Solution

The fourth proportional to 17,538.22, 24,202.34 and 9,580.47 is: 13,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.22 : 24,202.34 = 9,580.47 : x
  2. Step 2: Convert to fraction form
    17,538.22/24,202.34 = 9,580.47/x
  3. Step 3: Cross multiply
    17,538.22x = 24,202.34 × 9,580.47
  4. Step 4: Simplify right side
    17,538.22x = 231,869,879.59
  5. Step 5: Solve for x
    x = 231,869,879.59/17,538.22
  6. Step 6: Final answer
    x = 13,220.84

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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.