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Finding the Fourth Proportional to 12,814.24, 17,683.04 and 7,149.44

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Solution

The fourth proportional to 12,814.24, 17,683.04 and 7,149.44 is: 9,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.24 : 17,683.04 = 7,149.44 : x
  2. Step 2: Convert to fraction form
    12,814.24/17,683.04 = 7,149.44/x
  3. Step 3: Cross multiply
    12,814.24x = 17,683.04 × 7,149.44
  4. Step 4: Simplify right side
    12,814.24x = 126,423,833.50
  5. Step 5: Solve for x
    x = 126,423,833.50/12,814.24
  6. Step 6: Final answer
    x = 9,865.89

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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.