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Finding the Fourth Proportional to 13,496.10, 18,617.13 and 7,906.02

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Solution

The fourth proportional to 13,496.10, 18,617.13 and 7,906.02 is: 10,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.10 : 18,617.13 = 7,906.02 : x
  2. Step 2: Convert to fraction form
    13,496.10/18,617.13 = 7,906.02/x
  3. Step 3: Cross multiply
    13,496.10x = 18,617.13 × 7,906.02
  4. Step 4: Simplify right side
    13,496.10x = 147,187,402.12
  5. Step 5: Solve for x
    x = 147,187,402.12/13,496.10
  6. Step 6: Final answer
    x = 10,905.92

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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.