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Finding the Fourth Proportional to 17,536.50, 24,200.37 and 10,084.98

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Solution

The fourth proportional to 17,536.50, 24,200.37 and 10,084.98 is: 13,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.50 : 24,200.37 = 10,084.98 : x
  2. Step 2: Convert to fraction form
    17,536.50/24,200.37 = 10,084.98/x
  3. Step 3: Cross multiply
    17,536.50x = 24,200.37 × 10,084.98
  4. Step 4: Simplify right side
    17,536.50x = 244,060,247.44
  5. Step 5: Solve for x
    x = 244,060,247.44/17,536.50
  6. Step 6: Final answer
    x = 13,917.27

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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.