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Finding the Fourth Proportional to 22,095.53, 33,136.70 and 6,299.47

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Solution

The fourth proportional to 22,095.53, 33,136.70 and 6,299.47 is: 9,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.53 : 33,136.70 = 6,299.47 : x
  2. Step 2: Convert to fraction form
    22,095.53/33,136.70 = 6,299.47/x
  3. Step 3: Cross multiply
    22,095.53x = 33,136.70 × 6,299.47
  4. Step 4: Simplify right side
    22,095.53x = 208,743,657.47
  5. Step 5: Solve for x
    x = 208,743,657.47/22,095.53
  6. Step 6: Final answer
    x = 9,447.32

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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.