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Finding the Fourth Proportional to 12,802.43, 17,665.93 and 7,136.75

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Solution

The fourth proportional to 12,802.43, 17,665.93 and 7,136.75 is: 9,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.43 : 17,665.93 = 7,136.75 : x
  2. Step 2: Convert to fraction form
    12,802.43/17,665.93 = 7,136.75/x
  3. Step 3: Cross multiply
    12,802.43x = 17,665.93 × 7,136.75
  4. Step 4: Simplify right side
    12,802.43x = 126,077,379.01
  5. Step 5: Solve for x
    x = 126,077,379.01/12,802.43
  6. Step 6: Final answer
    x = 9,847.92

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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.