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Finding the Fourth Proportional to 13,096.23, 18,073.26 and 7,431

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Solution

The fourth proportional to 13,096.23, 18,073.26 and 7,431 is: 10,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.23 : 18,073.26 = 7,431 : x
  2. Step 2: Convert to fraction form
    13,096.23/18,073.26 = 7,431/x
  3. Step 3: Cross multiply
    13,096.23x = 18,073.26 × 7,431
  4. Step 4: Simplify right side
    13,096.23x = 134,302,395.06
  5. Step 5: Solve for x
    x = 134,302,395.06/13,096.23
  6. Step 6: Final answer
    x = 10,255.04

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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.