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Finding the Fourth Proportional to 21,334.96, 31,986.92 and 10,086.32

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Solution

The fourth proportional to 21,334.96, 31,986.92 and 10,086.32 is: 15,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.96 : 31,986.92 = 10,086.32 : x
  2. Step 2: Convert to fraction form
    21,334.96/31,986.92 = 10,086.32/x
  3. Step 3: Cross multiply
    21,334.96x = 31,986.92 × 10,086.32
  4. Step 4: Simplify right side
    21,334.96x = 322,630,310.93
  5. Step 5: Solve for x
    x = 322,630,310.93/21,334.96
  6. Step 6: Final answer
    x = 15,122.14

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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.