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Finding the Fourth Proportional to 13,709.11, 18,918.48 and 7,421.44

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Solution

The fourth proportional to 13,709.11, 18,918.48 and 7,421.44 is: 10,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.11 : 18,918.48 = 7,421.44 : x
  2. Step 2: Convert to fraction form
    13,709.11/18,918.48 = 7,421.44/x
  3. Step 3: Cross multiply
    13,709.11x = 18,918.48 × 7,421.44
  4. Step 4: Simplify right side
    13,709.11x = 140,402,344.75
  5. Step 5: Solve for x
    x = 140,402,344.75/13,709.11
  6. Step 6: Final answer
    x = 10,241.54

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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.