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Finding the Fourth Proportional to 11,624.97, 17,434.35 and 5,049.66

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Solution

The fourth proportional to 11,624.97, 17,434.35 and 5,049.66 is: 7,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.97 : 17,434.35 = 5,049.66 : x
  2. Step 2: Convert to fraction form
    11,624.97/17,434.35 = 5,049.66/x
  3. Step 3: Cross multiply
    11,624.97x = 17,434.35 × 5,049.66
  4. Step 4: Simplify right side
    11,624.97x = 88,037,539.82
  5. Step 5: Solve for x
    x = 88,037,539.82/11,624.97
  6. Step 6: Final answer
    x = 7,573.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.