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Finding the Fourth Proportional to 17,538.19, 24,207.74 and 11,164.98

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Solution

The fourth proportional to 17,538.19, 24,207.74 and 11,164.98 is: 15,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.19 : 24,207.74 = 11,164.98 : x
  2. Step 2: Convert to fraction form
    17,538.19/24,207.74 = 11,164.98/x
  3. Step 3: Cross multiply
    17,538.19x = 24,207.74 × 11,164.98
  4. Step 4: Simplify right side
    17,538.19x = 270,278,932.95
  5. Step 5: Solve for x
    x = 270,278,932.95/17,538.19
  6. Step 6: Final answer
    x = 15,410.88

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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.