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Finding the Fourth Proportional to 20,397.60, 30,596.76 and 5,606.42

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Solution

The fourth proportional to 20,397.60, 30,596.76 and 5,606.42 is: 8,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397.60 : 30,596.76 = 5,606.42 : x
  2. Step 2: Convert to fraction form
    20,397.60/30,596.76 = 5,606.42/x
  3. Step 3: Cross multiply
    20,397.60x = 30,596.76 × 5,606.42
  4. Step 4: Simplify right side
    20,397.60x = 171,538,134.22
  5. Step 5: Solve for x
    x = 171,538,134.22/20,397.60
  6. Step 6: Final answer
    x = 8,409.72

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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.