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Finding the Fourth Proportional to 13,401.60, 18,494.27 and 7,433.82

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Solution

The fourth proportional to 13,401.60, 18,494.27 and 7,433.82 is: 10,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.60 : 18,494.27 = 7,433.82 : x
  2. Step 2: Convert to fraction form
    13,401.60/18,494.27 = 7,433.82/x
  3. Step 3: Cross multiply
    13,401.60x = 18,494.27 × 7,433.82
  4. Step 4: Simplify right side
    13,401.60x = 137,483,037.04
  5. Step 5: Solve for x
    x = 137,483,037.04/13,401.60
  6. Step 6: Final answer
    x = 10,258.70

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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.