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Finding the Fourth Proportional to 23,496.17, 35,249.43 and 11,656.38

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Solution

The fourth proportional to 23,496.17, 35,249.43 and 11,656.38 is: 17,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.17 : 35,249.43 = 11,656.38 : x
  2. Step 2: Convert to fraction form
    23,496.17/35,249.43 = 11,656.38/x
  3. Step 3: Cross multiply
    23,496.17x = 35,249.43 × 11,656.38
  4. Step 4: Simplify right side
    23,496.17x = 410,880,750.86
  5. Step 5: Solve for x
    x = 410,880,750.86/23,496.17
  6. Step 6: Final answer
    x = 17,487.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.