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Finding the Fourth Proportional to 13,344.24, 18,401.18 and 11,462

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Solution

The fourth proportional to 13,344.24, 18,401.18 and 11,462 is: 15,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.24 : 18,401.18 = 11,462 : x
  2. Step 2: Convert to fraction form
    13,344.24/18,401.18 = 11,462/x
  3. Step 3: Cross multiply
    13,344.24x = 18,401.18 × 11,462
  4. Step 4: Simplify right side
    13,344.24x = 210,914,325.16
  5. Step 5: Solve for x
    x = 210,914,325.16/13,344.24
  6. Step 6: Final answer
    x = 15,805.65

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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.