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Finding the Fourth Proportional to 22,608.38, 31,199.94 and 12,537.24

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Solution

The fourth proportional to 22,608.38, 31,199.94 and 12,537.24 is: 17,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.38 : 31,199.94 = 12,537.24 : x
  2. Step 2: Convert to fraction form
    22,608.38/31,199.94 = 12,537.24/x
  3. Step 3: Cross multiply
    22,608.38x = 31,199.94 × 12,537.24
  4. Step 4: Simplify right side
    22,608.38x = 391,161,205.75
  5. Step 5: Solve for x
    x = 391,161,205.75/22,608.38
  6. Step 6: Final answer
    x = 17,301.60

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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.