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Finding the Fourth Proportional to 13,401.92, 18,494.62 and 7,434.50

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Solution

The fourth proportional to 13,401.92, 18,494.62 and 7,434.50 is: 10,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.92 : 18,494.62 = 7,434.50 : x
  2. Step 2: Convert to fraction form
    13,401.92/18,494.62 = 7,434.50/x
  3. Step 3: Cross multiply
    13,401.92x = 18,494.62 × 7,434.50
  4. Step 4: Simplify right side
    13,401.92x = 137,498,252.39
  5. Step 5: Solve for x
    x = 137,498,252.39/13,401.92
  6. Step 6: Final answer
    x = 10,259.59

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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.