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Finding the Fourth Proportional to 17,121.68, 23,628.42 and 9,567.78

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Solution

The fourth proportional to 17,121.68, 23,628.42 and 9,567.78 is: 13,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.68 : 23,628.42 = 9,567.78 : x
  2. Step 2: Convert to fraction form
    17,121.68/23,628.42 = 9,567.78/x
  3. Step 3: Cross multiply
    17,121.68x = 23,628.42 × 9,567.78
  4. Step 4: Simplify right side
    17,121.68x = 226,071,524.31
  5. Step 5: Solve for x
    x = 226,071,524.31/17,121.68
  6. Step 6: Final answer
    x = 13,203.82

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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.