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Finding the Fourth Proportional to 19,672.92, 29,503.04 and 7,822.76

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Solution

The fourth proportional to 19,672.92, 29,503.04 and 7,822.76 is: 11,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.92 : 29,503.04 = 7,822.76 : x
  2. Step 2: Convert to fraction form
    19,672.92/29,503.04 = 7,822.76/x
  3. Step 3: Cross multiply
    19,672.92x = 29,503.04 × 7,822.76
  4. Step 4: Simplify right side
    19,672.92x = 230,795,014.56
  5. Step 5: Solve for x
    x = 230,795,014.56/19,672.92
  6. Step 6: Final answer
    x = 11,731.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.