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Finding the Fourth Proportional to 13,832.52, 19,083.12 and 8,164.98

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Solution

The fourth proportional to 13,832.52, 19,083.12 and 8,164.98 is: 11,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.52 : 19,083.12 = 8,164.98 : x
  2. Step 2: Convert to fraction form
    13,832.52/19,083.12 = 8,164.98/x
  3. Step 3: Cross multiply
    13,832.52x = 19,083.12 × 8,164.98
  4. Step 4: Simplify right side
    13,832.52x = 155,813,293.14
  5. Step 5: Solve for x
    x = 155,813,293.14/13,832.52
  6. Step 6: Final answer
    x = 11,264.27

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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.