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Finding the Fourth Proportional to 12,013.22, 16,584.32 and 8,237.91

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Solution

The fourth proportional to 12,013.22, 16,584.32 and 8,237.91 is: 11,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.22 : 16,584.32 = 8,237.91 : x
  2. Step 2: Convert to fraction form
    12,013.22/16,584.32 = 8,237.91/x
  3. Step 3: Cross multiply
    12,013.22x = 16,584.32 × 8,237.91
  4. Step 4: Simplify right side
    12,013.22x = 136,620,094.38
  5. Step 5: Solve for x
    x = 136,620,094.38/12,013.22
  6. Step 6: Final answer
    x = 11,372.48

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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.