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Finding the Fourth Proportional to 12,792.69, 19,189.04 and 6,213.24

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Solution

The fourth proportional to 12,792.69, 19,189.04 and 6,213.24 is: 9,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.69 : 19,189.04 = 6,213.24 : x
  2. Step 2: Convert to fraction form
    12,792.69/19,189.04 = 6,213.24/x
  3. Step 3: Cross multiply
    12,792.69x = 19,189.04 × 6,213.24
  4. Step 4: Simplify right side
    12,792.69x = 119,226,110.89
  5. Step 5: Solve for x
    x = 119,226,110.89/12,792.69
  6. Step 6: Final answer
    x = 9,319.86

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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.