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Finding the Fourth Proportional to 17,711.44, 24,441.82 and 9,754.40

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Solution

The fourth proportional to 17,711.44, 24,441.82 and 9,754.40 is: 13,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.44 : 24,441.82 = 9,754.40 : x
  2. Step 2: Convert to fraction form
    17,711.44/24,441.82 = 9,754.40/x
  3. Step 3: Cross multiply
    17,711.44x = 24,441.82 × 9,754.40
  4. Step 4: Simplify right side
    17,711.44x = 238,415,325.73
  5. Step 5: Solve for x
    x = 238,415,325.73/17,711.44
  6. Step 6: Final answer
    x = 13,461.09

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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.