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Finding the Fourth Proportional to 14,664.02, 21,996 and 5,896.87

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Solution

The fourth proportional to 14,664.02, 21,996 and 5,896.87 is: 8,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.02 : 21,996 = 5,896.87 : x
  2. Step 2: Convert to fraction form
    14,664.02/21,996 = 5,896.87/x
  3. Step 3: Cross multiply
    14,664.02x = 21,996 × 5,896.87
  4. Step 4: Simplify right side
    14,664.02x = 129,707,497.53
  5. Step 5: Solve for x
    x = 129,707,497.53/14,664.02
  6. Step 6: Final answer
    x = 8,845.29

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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.