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Finding the Fourth Proportional to 13,894.31, 19,176.57 and 8,232.24

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Solution

The fourth proportional to 13,894.31, 19,176.57 and 8,232.24 is: 11,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.31 : 19,176.57 = 8,232.24 : x
  2. Step 2: Convert to fraction form
    13,894.31/19,176.57 = 8,232.24/x
  3. Step 3: Cross multiply
    13,894.31x = 19,176.57 × 8,232.24
  4. Step 4: Simplify right side
    13,894.31x = 157,866,188.24
  5. Step 5: Solve for x
    x = 157,866,188.24/13,894.31
  6. Step 6: Final answer
    x = 11,361.93

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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.