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Finding the Fourth Proportional to 16,850.34, 23,253.32 and 9,296.74

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Solution

The fourth proportional to 16,850.34, 23,253.32 and 9,296.74 is: 12,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.34 : 23,253.32 = 9,296.74 : x
  2. Step 2: Convert to fraction form
    16,850.34/23,253.32 = 9,296.74/x
  3. Step 3: Cross multiply
    16,850.34x = 23,253.32 × 9,296.74
  4. Step 4: Simplify right side
    16,850.34x = 216,179,965.56
  5. Step 5: Solve for x
    x = 216,179,965.56/16,850.34
  6. Step 6: Final answer
    x = 12,829.41

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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.