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Finding the Fourth Proportional to 12,663.92, 17,474.70 and 6,998.35

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Solution

The fourth proportional to 12,663.92, 17,474.70 and 6,998.35 is: 9,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.92 : 17,474.70 = 6,998.35 : x
  2. Step 2: Convert to fraction form
    12,663.92/17,474.70 = 6,998.35/x
  3. Step 3: Cross multiply
    12,663.92x = 17,474.70 × 6,998.35
  4. Step 4: Simplify right side
    12,663.92x = 122,294,023.06
  5. Step 5: Solve for x
    x = 122,294,023.06/12,663.92
  6. Step 6: Final answer
    x = 9,656.88

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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.