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Finding the Fourth Proportional to 16,906.34, 23,325.06 and 9,826.94

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Solution

The fourth proportional to 16,906.34, 23,325.06 and 9,826.94 is: 13,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.34 : 23,325.06 = 9,826.94 : x
  2. Step 2: Convert to fraction form
    16,906.34/23,325.06 = 9,826.94/x
  3. Step 3: Cross multiply
    16,906.34x = 23,325.06 × 9,826.94
  4. Step 4: Simplify right side
    16,906.34x = 229,213,965.12
  5. Step 5: Solve for x
    x = 229,213,965.12/16,906.34
  6. Step 6: Final answer
    x = 13,557.87

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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.