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Finding the Fourth Proportional to 10,814.35, 16,221.54 and 3,023.16

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Solution

The fourth proportional to 10,814.35, 16,221.54 and 3,023.16 is: 4,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.35 : 16,221.54 = 3,023.16 : x
  2. Step 2: Convert to fraction form
    10,814.35/16,221.54 = 3,023.16/x
  3. Step 3: Cross multiply
    10,814.35x = 16,221.54 × 3,023.16
  4. Step 4: Simplify right side
    10,814.35x = 49,040,310.87
  5. Step 5: Solve for x
    x = 49,040,310.87/10,814.35
  6. Step 6: Final answer
    x = 4,534.74

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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.