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Finding the Fourth Proportional to 21,106.17, 31,663.94 and 7,958.66

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Solution

The fourth proportional to 21,106.17, 31,663.94 and 7,958.66 is: 11,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.17 : 31,663.94 = 7,958.66 : x
  2. Step 2: Convert to fraction form
    21,106.17/31,663.94 = 7,958.66/x
  3. Step 3: Cross multiply
    21,106.17x = 31,663.94 × 7,958.66
  4. Step 4: Simplify right side
    21,106.17x = 252,002,532.72
  5. Step 5: Solve for x
    x = 252,002,532.72/21,106.17
  6. Step 6: Final answer
    x = 11,939.76

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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.