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Finding the Fourth Proportional to 13,074.68, 18,040.82 and 7,408.26

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Solution

The fourth proportional to 13,074.68, 18,040.82 and 7,408.26 is: 10,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.68 : 18,040.82 = 7,408.26 : x
  2. Step 2: Convert to fraction form
    13,074.68/18,040.82 = 7,408.26/x
  3. Step 3: Cross multiply
    13,074.68x = 18,040.82 × 7,408.26
  4. Step 4: Simplify right side
    13,074.68x = 133,651,048.13
  5. Step 5: Solve for x
    x = 133,651,048.13/13,074.68
  6. Step 6: Final answer
    x = 10,222.13

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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.