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Finding the Fourth Proportional to 13,431.10, 18,534.06 and 7,462.48

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Solution

The fourth proportional to 13,431.10, 18,534.06 and 7,462.48 is: 10,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.10 : 18,534.06 = 7,462.48 : x
  2. Step 2: Convert to fraction form
    13,431.10/18,534.06 = 7,462.48/x
  3. Step 3: Cross multiply
    13,431.10x = 18,534.06 × 7,462.48
  4. Step 4: Simplify right side
    13,431.10x = 138,310,052.07
  5. Step 5: Solve for x
    x = 138,310,052.07/13,431.10
  6. Step 6: Final answer
    x = 10,297.75

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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.