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Finding the Fourth Proportional to 17,212.50, 23,756.13 and 9,764.82

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Solution

The fourth proportional to 17,212.50, 23,756.13 and 9,764.82 is: 13,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.50 : 23,756.13 = 9,764.82 : x
  2. Step 2: Convert to fraction form
    17,212.50/23,756.13 = 9,764.82/x
  3. Step 3: Cross multiply
    17,212.50x = 23,756.13 × 9,764.82
  4. Step 4: Simplify right side
    17,212.50x = 231,974,333.35
  5. Step 5: Solve for x
    x = 231,974,333.35/17,212.50
  6. Step 6: Final answer
    x = 13,477.09

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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.