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Finding the Fourth Proportional to 17,200.92, 23,742.30 and 11,233.50

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Solution

The fourth proportional to 17,200.92, 23,742.30 and 11,233.50 is: 15,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.92 : 23,742.30 = 11,233.50 : x
  2. Step 2: Convert to fraction form
    17,200.92/23,742.30 = 11,233.50/x
  3. Step 3: Cross multiply
    17,200.92x = 23,742.30 × 11,233.50
  4. Step 4: Simplify right side
    17,200.92x = 266,709,127.05
  5. Step 5: Solve for x
    x = 266,709,127.05/17,200.92
  6. Step 6: Final answer
    x = 15,505.52

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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.