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Finding the Fourth Proportional to 18,533.48, 27,801.46 and 6,524.19

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Solution

The fourth proportional to 18,533.48, 27,801.46 and 6,524.19 is: 9,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.48 : 27,801.46 = 6,524.19 : x
  2. Step 2: Convert to fraction form
    18,533.48/27,801.46 = 6,524.19/x
  3. Step 3: Cross multiply
    18,533.48x = 27,801.46 × 6,524.19
  4. Step 4: Simplify right side
    18,533.48x = 181,381,991.01
  5. Step 5: Solve for x
    x = 181,381,991.01/18,533.48
  6. Step 6: Final answer
    x = 9,786.72

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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.