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Finding the Fourth Proportional to 12,999.86, 17,932.11 and 7,966.34

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Solution

The fourth proportional to 12,999.86, 17,932.11 and 7,966.34 is: 10,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.86 : 17,932.11 = 7,966.34 : x
  2. Step 2: Convert to fraction form
    12,999.86/17,932.11 = 7,966.34/x
  3. Step 3: Cross multiply
    12,999.86x = 17,932.11 × 7,966.34
  4. Step 4: Simplify right side
    12,999.86x = 142,853,285.18
  5. Step 5: Solve for x
    x = 142,853,285.18/12,999.86
  6. Step 6: Final answer
    x = 10,988.83

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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.