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Finding the Fourth Proportional to 17,538.78, 24,189.75 and 11,560.86

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Solution

The fourth proportional to 17,538.78, 24,189.75 and 11,560.86 is: 15,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.78 : 24,189.75 = 11,560.86 : x
  2. Step 2: Convert to fraction form
    17,538.78/24,189.75 = 11,560.86/x
  3. Step 3: Cross multiply
    17,538.78x = 24,189.75 × 11,560.86
  4. Step 4: Simplify right side
    17,538.78x = 279,654,313.19
  5. Step 5: Solve for x
    x = 279,654,313.19/17,538.78
  6. Step 6: Final answer
    x = 15,944.91

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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.