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Finding the Fourth Proportional to 16,489.84, 22,756 and 8,936.24

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Solution

The fourth proportional to 16,489.84, 22,756 and 8,936.24 is: 12,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.84 : 22,756 = 8,936.24 : x
  2. Step 2: Convert to fraction form
    16,489.84/22,756 = 8,936.24/x
  3. Step 3: Cross multiply
    16,489.84x = 22,756 × 8,936.24
  4. Step 4: Simplify right side
    16,489.84x = 203,353,077.44
  5. Step 5: Solve for x
    x = 203,353,077.44/16,489.84
  6. Step 6: Final answer
    x = 12,332.02

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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.