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Finding the Fourth Proportional to 19,861.63, 29,796.54 and 5,822.11

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Solution

The fourth proportional to 19,861.63, 29,796.54 and 5,822.11 is: 8,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.63 : 29,796.54 = 5,822.11 : x
  2. Step 2: Convert to fraction form
    19,861.63/29,796.54 = 5,822.11/x
  3. Step 3: Cross multiply
    19,861.63x = 29,796.54 × 5,822.11
  4. Step 4: Simplify right side
    19,861.63x = 173,478,733.50
  5. Step 5: Solve for x
    x = 173,478,733.50/19,861.63
  6. Step 6: Final answer
    x = 8,734.37

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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.