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Finding the Fourth Proportional to 17,715.76, 24,446.79 and 9,757.36

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Solution

The fourth proportional to 17,715.76, 24,446.79 and 9,757.36 is: 13,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.76 : 24,446.79 = 9,757.36 : x
  2. Step 2: Convert to fraction form
    17,715.76/24,446.79 = 9,757.36/x
  3. Step 3: Cross multiply
    17,715.76x = 24,446.79 × 9,757.36
  4. Step 4: Simplify right side
    17,715.76x = 238,536,133.99
  5. Step 5: Solve for x
    x = 238,536,133.99/17,715.76
  6. Step 6: Final answer
    x = 13,464.63

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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.