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Finding the Fourth Proportional to 22,819.74, 31,491.90 and 12,747.84

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Solution

The fourth proportional to 22,819.74, 31,491.90 and 12,747.84 is: 17,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.74 : 31,491.90 = 12,747.84 : x
  2. Step 2: Convert to fraction form
    22,819.74/31,491.90 = 12,747.84/x
  3. Step 3: Cross multiply
    22,819.74x = 31,491.90 × 12,747.84
  4. Step 4: Simplify right side
    22,819.74x = 401,453,702.50
  5. Step 5: Solve for x
    x = 401,453,702.50/22,819.74
  6. Step 6: Final answer
    x = 17,592.39

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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.