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Finding the Fourth Proportional to 17,538.48, 24,202.68 and 9,580.68

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Solution

The fourth proportional to 17,538.48, 24,202.68 and 9,580.68 is: 13,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.48 : 24,202.68 = 9,580.68 : x
  2. Step 2: Convert to fraction form
    17,538.48/24,202.68 = 9,580.68/x
  3. Step 3: Cross multiply
    17,538.48x = 24,202.68 × 9,580.68
  4. Step 4: Simplify right side
    17,538.48x = 231,878,132.22
  5. Step 5: Solve for x
    x = 231,878,132.22/17,538.48
  6. Step 6: Final answer
    x = 13,221.11

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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.