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Finding the Fourth Proportional to 13,602.09, 20,390.97 and 6,578.19

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Solution

The fourth proportional to 13,602.09, 20,390.97 and 6,578.19 is: 9,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.09 : 20,390.97 = 6,578.19 : x
  2. Step 2: Convert to fraction form
    13,602.09/20,390.97 = 6,578.19/x
  3. Step 3: Cross multiply
    13,602.09x = 20,390.97 × 6,578.19
  4. Step 4: Simplify right side
    13,602.09x = 134,135,674.94
  5. Step 5: Solve for x
    x = 134,135,674.94/13,602.09
  6. Step 6: Final answer
    x = 9,861.40

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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.