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Finding the Fourth Proportional to 13,218.53, 19,816.68 and 6,194.84

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Solution

The fourth proportional to 13,218.53, 19,816.68 and 6,194.84 is: 9,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.53 : 19,816.68 = 6,194.84 : x
  2. Step 2: Convert to fraction form
    13,218.53/19,816.68 = 6,194.84/x
  3. Step 3: Cross multiply
    13,218.53x = 19,816.68 × 6,194.84
  4. Step 4: Simplify right side
    13,218.53x = 122,761,161.93
  5. Step 5: Solve for x
    x = 122,761,161.93/13,218.53
  6. Step 6: Final answer
    x = 9,287.05

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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.