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Finding the Fourth Proportional to 21,116.12, 31,663.92 and 7,969.52

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Solution

The fourth proportional to 21,116.12, 31,663.92 and 7,969.52 is: 11,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.12 : 31,663.92 = 7,969.52 : x
  2. Step 2: Convert to fraction form
    21,116.12/31,663.92 = 7,969.52/x
  3. Step 3: Cross multiply
    21,116.12x = 31,663.92 × 7,969.52
  4. Step 4: Simplify right side
    21,116.12x = 252,346,243.72
  5. Step 5: Solve for x
    x = 252,346,243.72/21,116.12
  6. Step 6: Final answer
    x = 11,950.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.