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Finding the Fourth Proportional to 14,396.31, 19,866.11 and 8,022.53

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Solution

The fourth proportional to 14,396.31, 19,866.11 and 8,022.53 is: 11,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.31 : 19,866.11 = 8,022.53 : x
  2. Step 2: Convert to fraction form
    14,396.31/19,866.11 = 8,022.53/x
  3. Step 3: Cross multiply
    14,396.31x = 19,866.11 × 8,022.53
  4. Step 4: Simplify right side
    14,396.31x = 159,376,324.02
  5. Step 5: Solve for x
    x = 159,376,324.02/14,396.31
  6. Step 6: Final answer
    x = 11,070.64

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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.