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Finding the Fourth Proportional to 13,402.15, 18,494.83 and 7,433.80

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Solution

The fourth proportional to 13,402.15, 18,494.83 and 7,433.80 is: 10,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.15 : 18,494.83 = 7,433.80 : x
  2. Step 2: Convert to fraction form
    13,402.15/18,494.83 = 7,433.80/x
  3. Step 3: Cross multiply
    13,402.15x = 18,494.83 × 7,433.80
  4. Step 4: Simplify right side
    13,402.15x = 137,486,867.25
  5. Step 5: Solve for x
    x = 137,486,867.25/13,402.15
  6. Step 6: Final answer
    x = 10,258.57

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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.