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Finding the Fourth Proportional to 20,261.08, 30,392.70 and 6,409

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Solution

The fourth proportional to 20,261.08, 30,392.70 and 6,409 is: 9,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.08 : 30,392.70 = 6,409 : x
  2. Step 2: Convert to fraction form
    20,261.08/30,392.70 = 6,409/x
  3. Step 3: Cross multiply
    20,261.08x = 30,392.70 × 6,409
  4. Step 4: Simplify right side
    20,261.08x = 194,786,814.30
  5. Step 5: Solve for x
    x = 194,786,814.30/20,261.08
  6. Step 6: Final answer
    x = 9,613.84

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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.