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Finding the Fourth Proportional to 19,777.85, 29,662.16 and 5,734.11

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Solution

The fourth proportional to 19,777.85, 29,662.16 and 5,734.11 is: 8,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.85 : 29,662.16 = 5,734.11 : x
  2. Step 2: Convert to fraction form
    19,777.85/29,662.16 = 5,734.11/x
  3. Step 3: Cross multiply
    19,777.85x = 29,662.16 × 5,734.11
  4. Step 4: Simplify right side
    19,777.85x = 170,085,914.88
  5. Step 5: Solve for x
    x = 170,085,914.88/19,777.85
  6. Step 6: Final answer
    x = 8,599.82

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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.