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Finding the Fourth Proportional to 16,745.84, 23,107.30 and 9,938.82

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Solution

The fourth proportional to 16,745.84, 23,107.30 and 9,938.82 is: 13,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.84 : 23,107.30 = 9,938.82 : x
  2. Step 2: Convert to fraction form
    16,745.84/23,107.30 = 9,938.82/x
  3. Step 3: Cross multiply
    16,745.84x = 23,107.30 × 9,938.82
  4. Step 4: Simplify right side
    16,745.84x = 229,659,295.39
  5. Step 5: Solve for x
    x = 229,659,295.39/16,745.84
  6. Step 6: Final answer
    x = 13,714.41

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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.