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Finding the Fourth Proportional to 12,099.33, 16,701.38 and 7,319.52

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Solution

The fourth proportional to 12,099.33, 16,701.38 and 7,319.52 is: 10,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.33 : 16,701.38 = 7,319.52 : x
  2. Step 2: Convert to fraction form
    12,099.33/16,701.38 = 7,319.52/x
  3. Step 3: Cross multiply
    12,099.33x = 16,701.38 × 7,319.52
  4. Step 4: Simplify right side
    12,099.33x = 122,246,048.34
  5. Step 5: Solve for x
    x = 122,246,048.34/12,099.33
  6. Step 6: Final answer
    x = 10,103.54

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Why These Related Problems?

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