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Finding the Fourth Proportional to 15,711.94, 21,682.47 and 8,997.76

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Solution

The fourth proportional to 15,711.94, 21,682.47 and 8,997.76 is: 12,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.94 : 21,682.47 = 8,997.76 : x
  2. Step 2: Convert to fraction form
    15,711.94/21,682.47 = 8,997.76/x
  3. Step 3: Cross multiply
    15,711.94x = 21,682.47 × 8,997.76
  4. Step 4: Simplify right side
    15,711.94x = 195,093,661.27
  5. Step 5: Solve for x
    x = 195,093,661.27/15,711.94
  6. Step 6: Final answer
    x = 12,416.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.