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Finding the Fourth Proportional to 16,906.77, 23,335.02 and 9,834.12

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Solution

The fourth proportional to 16,906.77, 23,335.02 and 9,834.12 is: 13,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.77 : 23,335.02 = 9,834.12 : x
  2. Step 2: Convert to fraction form
    16,906.77/23,335.02 = 9,834.12/x
  3. Step 3: Cross multiply
    16,906.77x = 23,335.02 × 9,834.12
  4. Step 4: Simplify right side
    16,906.77x = 229,479,386.88
  5. Step 5: Solve for x
    x = 229,479,386.88/16,906.77
  6. Step 6: Final answer
    x = 13,573.22

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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.