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Finding the Fourth Proportional to 17,221.77, 23,768.91 and 10,152.09

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Solution

The fourth proportional to 17,221.77, 23,768.91 and 10,152.09 is: 14,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.77 : 23,768.91 = 10,152.09 : x
  2. Step 2: Convert to fraction form
    17,221.77/23,768.91 = 10,152.09/x
  3. Step 3: Cross multiply
    17,221.77x = 23,768.91 × 10,152.09
  4. Step 4: Simplify right side
    17,221.77x = 241,304,113.52
  5. Step 5: Solve for x
    x = 241,304,113.52/17,221.77
  6. Step 6: Final answer
    x = 14,011.57

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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.