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Finding the Fourth Proportional to 13,282.08, 19,896.54 and 8,014.20

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Solution

The fourth proportional to 13,282.08, 19,896.54 and 8,014.20 is: 12,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.08 : 19,896.54 = 8,014.20 : x
  2. Step 2: Convert to fraction form
    13,282.08/19,896.54 = 8,014.20/x
  3. Step 3: Cross multiply
    13,282.08x = 19,896.54 × 8,014.20
  4. Step 4: Simplify right side
    13,282.08x = 159,454,850.87
  5. Step 5: Solve for x
    x = 159,454,850.87/13,282.08
  6. Step 6: Final answer
    x = 12,005.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.