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Finding the Fourth Proportional to 16,760.98, 23,129.04 and 9,205.84

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Solution

The fourth proportional to 16,760.98, 23,129.04 and 9,205.84 is: 12,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.98 : 23,129.04 = 9,205.84 : x
  2. Step 2: Convert to fraction form
    16,760.98/23,129.04 = 9,205.84/x
  3. Step 3: Cross multiply
    16,760.98x = 23,129.04 × 9,205.84
  4. Step 4: Simplify right side
    16,760.98x = 212,922,241.59
  5. Step 5: Solve for x
    x = 212,922,241.59/16,760.98
  6. Step 6: Final answer
    x = 12,703.45

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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.