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Finding the Fourth Proportional to 21,086.56, 31,629.12 and 9,998.56

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Solution

The fourth proportional to 21,086.56, 31,629.12 and 9,998.56 is: 14,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.56 : 31,629.12 = 9,998.56 : x
  2. Step 2: Convert to fraction form
    21,086.56/31,629.12 = 9,998.56/x
  3. Step 3: Cross multiply
    21,086.56x = 31,629.12 × 9,998.56
  4. Step 4: Simplify right side
    21,086.56x = 316,245,654.07
  5. Step 5: Solve for x
    x = 316,245,654.07/21,086.56
  6. Step 6: Final answer
    x = 14,997.50

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Why These Related Problems?

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