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Finding the Fourth Proportional to 13,401.86, 18,495.17 and 7,433.13

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Solution

The fourth proportional to 13,401.86, 18,495.17 and 7,433.13 is: 10,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.86 : 18,495.17 = 7,433.13 : x
  2. Step 2: Convert to fraction form
    13,401.86/18,495.17 = 7,433.13/x
  3. Step 3: Cross multiply
    13,401.86x = 18,495.17 × 7,433.13
  4. Step 4: Simplify right side
    13,401.86x = 137,476,965.82
  5. Step 5: Solve for x
    x = 137,476,965.82/13,401.86
  6. Step 6: Final answer
    x = 10,258.06

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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.