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Finding the Fourth Proportional to 20,634.22, 30,953.05 and 6,596.24

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Solution

The fourth proportional to 20,634.22, 30,953.05 and 6,596.24 is: 9,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.22 : 30,953.05 = 6,596.24 : x
  2. Step 2: Convert to fraction form
    20,634.22/30,953.05 = 6,596.24/x
  3. Step 3: Cross multiply
    20,634.22x = 30,953.05 × 6,596.24
  4. Step 4: Simplify right side
    20,634.22x = 204,173,807.42
  5. Step 5: Solve for x
    x = 204,173,807.42/20,634.22
  6. Step 6: Final answer
    x = 9,894.91

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