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Finding the Fourth Proportional to 12,814.67, 19,225.11 and 6,239.36

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Solution

The fourth proportional to 12,814.67, 19,225.11 and 6,239.36 is: 9,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.67 : 19,225.11 = 6,239.36 : x
  2. Step 2: Convert to fraction form
    12,814.67/19,225.11 = 6,239.36/x
  3. Step 3: Cross multiply
    12,814.67x = 19,225.11 × 6,239.36
  4. Step 4: Simplify right side
    12,814.67x = 119,952,453.79
  5. Step 5: Solve for x
    x = 119,952,453.79/12,814.67
  6. Step 6: Final answer
    x = 9,360.56

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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.