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Finding the Fourth Proportional to 21,182.94, 31,753.74 and 10,086.64

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Solution

The fourth proportional to 21,182.94, 31,753.74 and 10,086.64 is: 15,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.94 : 31,753.74 = 10,086.64 : x
  2. Step 2: Convert to fraction form
    21,182.94/31,753.74 = 10,086.64/x
  3. Step 3: Cross multiply
    21,182.94x = 31,753.74 × 10,086.64
  4. Step 4: Simplify right side
    21,182.94x = 320,288,544.03
  5. Step 5: Solve for x
    x = 320,288,544.03/21,182.94
  6. Step 6: Final answer
    x = 15,120.12

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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.