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Finding the Fourth Proportional to 13,709.05, 18,918.25 and 7,421.42

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Solution

The fourth proportional to 13,709.05, 18,918.25 and 7,421.42 is: 10,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.05 : 18,918.25 = 7,421.42 : x
  2. Step 2: Convert to fraction form
    13,709.05/18,918.25 = 7,421.42/x
  3. Step 3: Cross multiply
    13,709.05x = 18,918.25 × 7,421.42
  4. Step 4: Simplify right side
    13,709.05x = 140,400,307.66
  5. Step 5: Solve for x
    x = 140,400,307.66/13,709.05
  6. Step 6: Final answer
    x = 10,241.43

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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.