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Finding the Fourth Proportional to 22,612.50, 31,205.25 and 13,182.89

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Solution

The fourth proportional to 22,612.50, 31,205.25 and 13,182.89 is: 18,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.50 : 31,205.25 = 13,182.89 : x
  2. Step 2: Convert to fraction form
    22,612.50/31,205.25 = 13,182.89/x
  3. Step 3: Cross multiply
    22,612.50x = 31,205.25 × 13,182.89
  4. Step 4: Simplify right side
    22,612.50x = 411,375,222.15
  5. Step 5: Solve for x
    x = 411,375,222.15/22,612.50
  6. Step 6: Final answer
    x = 18,192.38

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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.