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Finding the Fourth Proportional to 13,408.27, 18,501.92 and 7,438.45

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Solution

The fourth proportional to 13,408.27, 18,501.92 and 7,438.45 is: 10,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.27 : 18,501.92 = 7,438.45 : x
  2. Step 2: Convert to fraction form
    13,408.27/18,501.92 = 7,438.45/x
  3. Step 3: Cross multiply
    13,408.27x = 18,501.92 × 7,438.45
  4. Step 4: Simplify right side
    13,408.27x = 137,625,532.91
  5. Step 5: Solve for x
    x = 137,625,532.91/13,408.27
  6. Step 6: Final answer
    x = 10,264.23

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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.