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Finding the Fourth Proportional to 12,814.28, 17,682.90 and 7,149.86

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Solution

The fourth proportional to 12,814.28, 17,682.90 and 7,149.86 is: 9,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.28 : 17,682.90 = 7,149.86 : x
  2. Step 2: Convert to fraction form
    12,814.28/17,682.90 = 7,149.86/x
  3. Step 3: Cross multiply
    12,814.28x = 17,682.90 × 7,149.86
  4. Step 4: Simplify right side
    12,814.28x = 126,430,259.39
  5. Step 5: Solve for x
    x = 126,430,259.39/12,814.28
  6. Step 6: Final answer
    x = 9,866.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.