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Finding the Fourth Proportional to 20,992.32, 31,499.46 and 13,594.86

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Solution

The fourth proportional to 20,992.32, 31,499.46 and 13,594.86 is: 20,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.32 : 31,499.46 = 13,594.86 : x
  2. Step 2: Convert to fraction form
    20,992.32/31,499.46 = 13,594.86/x
  3. Step 3: Cross multiply
    20,992.32x = 31,499.46 × 13,594.86
  4. Step 4: Simplify right side
    20,992.32x = 428,230,748.78
  5. Step 5: Solve for x
    x = 428,230,748.78/20,992.32
  6. Step 6: Final answer
    x = 20,399.40

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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.