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Finding the Fourth Proportional to 17,221.41, 23,764.05 and 9,666.54

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Solution

The fourth proportional to 17,221.41, 23,764.05 and 9,666.54 is: 13,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.41 : 23,764.05 = 9,666.54 : x
  2. Step 2: Convert to fraction form
    17,221.41/23,764.05 = 9,666.54/x
  3. Step 3: Cross multiply
    17,221.41x = 23,764.05 × 9,666.54
  4. Step 4: Simplify right side
    17,221.41x = 229,716,139.89
  5. Step 5: Solve for x
    x = 229,716,139.89/17,221.41
  6. Step 6: Final answer
    x = 13,338.99

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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.