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Finding the Fourth Proportional to 20,402.94, 30,596.22 and 6,358.35

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Solution

The fourth proportional to 20,402.94, 30,596.22 and 6,358.35 is: 9,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.94 : 30,596.22 = 6,358.35 : x
  2. Step 2: Convert to fraction form
    20,402.94/30,596.22 = 6,358.35/x
  3. Step 3: Cross multiply
    20,402.94x = 30,596.22 × 6,358.35
  4. Step 4: Simplify right side
    20,402.94x = 194,541,475.44
  5. Step 5: Solve for x
    x = 194,541,475.44/20,402.94
  6. Step 6: Final answer
    x = 9,534.97

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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.