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Finding the Fourth Proportional to 17,536.50, 24,201.09 and 10,084.50

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Solution

The fourth proportional to 17,536.50, 24,201.09 and 10,084.50 is: 13,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.50 : 24,201.09 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    17,536.50/24,201.09 = 10,084.50/x
  3. Step 3: Cross multiply
    17,536.50x = 24,201.09 × 10,084.50
  4. Step 4: Simplify right side
    17,536.50x = 244,055,892.11
  5. Step 5: Solve for x
    x = 244,055,892.11/17,536.50
  6. Step 6: Final answer
    x = 13,917.02

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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.