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Finding the Fourth Proportional to 16,755.74, 23,122.94 and 9,202.55

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Solution

The fourth proportional to 16,755.74, 23,122.94 and 9,202.55 is: 12,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755.74 : 23,122.94 = 9,202.55 : x
  2. Step 2: Convert to fraction form
    16,755.74/23,122.94 = 9,202.55/x
  3. Step 3: Cross multiply
    16,755.74x = 23,122.94 × 9,202.55
  4. Step 4: Simplify right side
    16,755.74x = 212,790,023.29
  5. Step 5: Solve for x
    x = 212,790,023.29/16,755.74
  6. Step 6: Final answer
    x = 12,699.53

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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.