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Finding the Fourth Proportional to 17,221.92, 23,764.56 and 9,666.96

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Solution

The fourth proportional to 17,221.92, 23,764.56 and 9,666.96 is: 13,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.92 : 23,764.56 = 9,666.96 : x
  2. Step 2: Convert to fraction form
    17,221.92/23,764.56 = 9,666.96/x
  3. Step 3: Cross multiply
    17,221.92x = 23,764.56 × 9,666.96
  4. Step 4: Simplify right side
    17,221.92x = 229,731,050.94
  5. Step 5: Solve for x
    x = 229,731,050.94/17,221.92
  6. Step 6: Final answer
    x = 13,339.46

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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.