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Finding the Fourth Proportional to 20,690.66, 31,036.19 and 8,213.69

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Solution

The fourth proportional to 20,690.66, 31,036.19 and 8,213.69 is: 12,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.66 : 31,036.19 = 8,213.69 : x
  2. Step 2: Convert to fraction form
    20,690.66/31,036.19 = 8,213.69/x
  3. Step 3: Cross multiply
    20,690.66x = 31,036.19 × 8,213.69
  4. Step 4: Simplify right side
    20,690.66x = 254,921,447.19
  5. Step 5: Solve for x
    x = 254,921,447.19/20,690.66
  6. Step 6: Final answer
    x = 12,320.61

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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.