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Finding the Fourth Proportional to 12,833.39, 17,709.90 and 7,168.23

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Solution

The fourth proportional to 12,833.39, 17,709.90 and 7,168.23 is: 9,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.39 : 17,709.90 = 7,168.23 : x
  2. Step 2: Convert to fraction form
    12,833.39/17,709.90 = 7,168.23/x
  3. Step 3: Cross multiply
    12,833.39x = 17,709.90 × 7,168.23
  4. Step 4: Simplify right side
    12,833.39x = 126,948,636.48
  5. Step 5: Solve for x
    x = 126,948,636.48/12,833.39
  6. Step 6: Final answer
    x = 9,892.06

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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.