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Finding the Fourth Proportional to 13,708.74, 18,918.09 and 7,421.12

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Solution

The fourth proportional to 13,708.74, 18,918.09 and 7,421.12 is: 10,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.74 : 18,918.09 = 7,421.12 : x
  2. Step 2: Convert to fraction form
    13,708.74/18,918.09 = 7,421.12/x
  3. Step 3: Cross multiply
    13,708.74x = 18,918.09 × 7,421.12
  4. Step 4: Simplify right side
    13,708.74x = 140,393,321.47
  5. Step 5: Solve for x
    x = 140,393,321.47/13,708.74
  6. Step 6: Final answer
    x = 10,241.15

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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.