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Finding the Fourth Proportional to 12,802.73, 17,665.61 and 7,136.24

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Solution

The fourth proportional to 12,802.73, 17,665.61 and 7,136.24 is: 9,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.73 : 17,665.61 = 7,136.24 : x
  2. Step 2: Convert to fraction form
    12,802.73/17,665.61 = 7,136.24/x
  3. Step 3: Cross multiply
    12,802.73x = 17,665.61 × 7,136.24
  4. Step 4: Simplify right side
    12,802.73x = 126,065,962.22
  5. Step 5: Solve for x
    x = 126,065,962.22/12,802.73
  6. Step 6: Final answer
    x = 9,846.81

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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.