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Finding the Fourth Proportional to 13,183.59, 18,194.04 and 9,835.47

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Solution

The fourth proportional to 13,183.59, 18,194.04 and 9,835.47 is: 13,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.59 : 18,194.04 = 9,835.47 : x
  2. Step 2: Convert to fraction form
    13,183.59/18,194.04 = 9,835.47/x
  3. Step 3: Cross multiply
    13,183.59x = 18,194.04 × 9,835.47
  4. Step 4: Simplify right side
    13,183.59x = 178,946,934.60
  5. Step 5: Solve for x
    x = 178,946,934.60/13,183.59
  6. Step 6: Final answer
    x = 13,573.46

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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.