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Finding the Fourth Proportional to 13,602.20, 18,743.94 and 9,818.69

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Solution

The fourth proportional to 13,602.20, 18,743.94 and 9,818.69 is: 13,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.20 : 18,743.94 = 9,818.69 : x
  2. Step 2: Convert to fraction form
    13,602.20/18,743.94 = 9,818.69/x
  3. Step 3: Cross multiply
    13,602.20x = 18,743.94 × 9,818.69
  4. Step 4: Simplify right side
    13,602.20x = 184,040,842.52
  5. Step 5: Solve for x
    x = 184,040,842.52/13,602.20
  6. Step 6: Final answer
    x = 13,530.23

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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.