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Finding the Fourth Proportional to 14,197.95, 19,593.23 and 8,233.13

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Solution

The fourth proportional to 14,197.95, 19,593.23 and 8,233.13 is: 11,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.95 : 19,593.23 = 8,233.13 : x
  2. Step 2: Convert to fraction form
    14,197.95/19,593.23 = 8,233.13/x
  3. Step 3: Cross multiply
    14,197.95x = 19,593.23 × 8,233.13
  4. Step 4: Simplify right side
    14,197.95x = 161,313,617.53
  5. Step 5: Solve for x
    x = 161,313,617.53/14,197.95
  6. Step 6: Final answer
    x = 11,361.75

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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.