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Finding the Fourth Proportional to 12,227.50, 16,872.78 and 9,715.69

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Solution

The fourth proportional to 12,227.50, 16,872.78 and 9,715.69 is: 13,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.50 : 16,872.78 = 9,715.69 : x
  2. Step 2: Convert to fraction form
    12,227.50/16,872.78 = 9,715.69/x
  3. Step 3: Cross multiply
    12,227.50x = 16,872.78 × 9,715.69
  4. Step 4: Simplify right side
    12,227.50x = 163,930,699.92
  5. Step 5: Solve for x
    x = 163,930,699.92/12,227.50
  6. Step 6: Final answer
    x = 13,406.72

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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.