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Finding the Fourth Proportional to 11,314.50, 16,977.69 and 8,220.09

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Solution

The fourth proportional to 11,314.50, 16,977.69 and 8,220.09 is: 12,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.50 : 16,977.69 = 8,220.09 : x
  2. Step 2: Convert to fraction form
    11,314.50/16,977.69 = 8,220.09/x
  3. Step 3: Cross multiply
    11,314.50x = 16,977.69 × 8,220.09
  4. Step 4: Simplify right side
    11,314.50x = 139,558,139.79
  5. Step 5: Solve for x
    x = 139,558,139.79/11,314.50
  6. Step 6: Final answer
    x = 12,334.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.