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Finding the Fourth Proportional to 19,793.64, 29,696.52 and 6,644.90

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Solution

The fourth proportional to 19,793.64, 29,696.52 and 6,644.90 is: 9,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.64 : 29,696.52 = 6,644.90 : x
  2. Step 2: Convert to fraction form
    19,793.64/29,696.52 = 6,644.90/x
  3. Step 3: Cross multiply
    19,793.64x = 29,696.52 × 6,644.90
  4. Step 4: Simplify right side
    19,793.64x = 197,330,405.75
  5. Step 5: Solve for x
    x = 197,330,405.75/19,793.64
  6. Step 6: Final answer
    x = 9,969.38

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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.