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Finding the Fourth Proportional to 20,465.58, 30,697.29 and 6,613.50

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Solution

The fourth proportional to 20,465.58, 30,697.29 and 6,613.50 is: 9,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.58 : 30,697.29 = 6,613.50 : x
  2. Step 2: Convert to fraction form
    20,465.58/30,697.29 = 6,613.50/x
  3. Step 3: Cross multiply
    20,465.58x = 30,697.29 × 6,613.50
  4. Step 4: Simplify right side
    20,465.58x = 203,016,527.42
  5. Step 5: Solve for x
    x = 203,016,527.42/20,465.58
  6. Step 6: Final answer
    x = 9,919.90

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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.