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Finding the Fourth Proportional to 13,005.83, 17,930.18 and 8,223.38

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Solution

The fourth proportional to 13,005.83, 17,930.18 and 8,223.38 is: 11,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.83 : 17,930.18 = 8,223.38 : x
  2. Step 2: Convert to fraction form
    13,005.83/17,930.18 = 8,223.38/x
  3. Step 3: Cross multiply
    13,005.83x = 17,930.18 × 8,223.38
  4. Step 4: Simplify right side
    13,005.83x = 147,446,683.61
  5. Step 5: Solve for x
    x = 147,446,683.61/13,005.83
  6. Step 6: Final answer
    x = 11,336.97

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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.