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Finding the Fourth Proportional to 13,896.40, 19,181.48 and 8,230.80

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Solution

The fourth proportional to 13,896.40, 19,181.48 and 8,230.80 is: 11,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.40 : 19,181.48 = 8,230.80 : x
  2. Step 2: Convert to fraction form
    13,896.40/19,181.48 = 8,230.80/x
  3. Step 3: Cross multiply
    13,896.40x = 19,181.48 × 8,230.80
  4. Step 4: Simplify right side
    13,896.40x = 157,878,925.58
  5. Step 5: Solve for x
    x = 157,878,925.58/13,896.40
  6. Step 6: Final answer
    x = 11,361.14

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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.