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Finding the Fourth Proportional to 12,833.03, 17,708.09 and 7,166.61

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Solution

The fourth proportional to 12,833.03, 17,708.09 and 7,166.61 is: 9,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.03 : 17,708.09 = 7,166.61 : x
  2. Step 2: Convert to fraction form
    12,833.03/17,708.09 = 7,166.61/x
  3. Step 3: Cross multiply
    12,833.03x = 17,708.09 × 7,166.61
  4. Step 4: Simplify right side
    12,833.03x = 126,906,939.04
  5. Step 5: Solve for x
    x = 126,906,939.04/12,833.03
  6. Step 6: Final answer
    x = 9,889.08

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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.