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Finding the Fourth Proportional to 13,219.83, 18,236.00 and 8,180.84

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Solution

The fourth proportional to 13,219.83, 18,236.00 and 8,180.84 is: 11,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.83 : 18,236.00 = 8,180.84 : x
  2. Step 2: Convert to fraction form
    13,219.83/18,236.00 = 8,180.84/x
  3. Step 3: Cross multiply
    13,219.83x = 18,236.00 × 8,180.84
  4. Step 4: Simplify right side
    13,219.83x = 149,185,864.28
  5. Step 5: Solve for x
    x = 149,185,864.28/13,219.83
  6. Step 6: Final answer
    x = 11,285.01

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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.