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Finding the Fourth Proportional to 13,580.69, 20,368.26 and 3,719.21

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Solution

The fourth proportional to 13,580.69, 20,368.26 and 3,719.21 is: 5,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.69 : 20,368.26 = 3,719.21 : x
  2. Step 2: Convert to fraction form
    13,580.69/20,368.26 = 3,719.21/x
  3. Step 3: Cross multiply
    13,580.69x = 20,368.26 × 3,719.21
  4. Step 4: Simplify right side
    13,580.69x = 75,753,734.43
  5. Step 5: Solve for x
    x = 75,753,734.43/13,580.69
  6. Step 6: Final answer
    x = 5,578.05

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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.