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Finding the Fourth Proportional to 14,896.14, 22,344.18 and 3,802.82

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Solution

The fourth proportional to 14,896.14, 22,344.18 and 3,802.82 is: 5,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.14 : 22,344.18 = 3,802.82 : x
  2. Step 2: Convert to fraction form
    14,896.14/22,344.18 = 3,802.82/x
  3. Step 3: Cross multiply
    14,896.14x = 22,344.18 × 3,802.82
  4. Step 4: Simplify right side
    14,896.14x = 84,970,950.45
  5. Step 5: Solve for x
    x = 84,970,950.45/14,896.14
  6. Step 6: Final answer
    x = 5,704.23

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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.