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Finding the Fourth Proportional to 16,517.84, 22,800.68 and 11,202

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Solution

The fourth proportional to 16,517.84, 22,800.68 and 11,202 is: 15,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.84 : 22,800.68 = 11,202 : x
  2. Step 2: Convert to fraction form
    16,517.84/22,800.68 = 11,202/x
  3. Step 3: Cross multiply
    16,517.84x = 22,800.68 × 11,202
  4. Step 4: Simplify right side
    16,517.84x = 255,413,217.36
  5. Step 5: Solve for x
    x = 255,413,217.36/16,517.84
  6. Step 6: Final answer
    x = 15,462.87

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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.