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Finding the Fourth Proportional to 16,758.92, 23,127.59 and 9,205.57

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Solution

The fourth proportional to 16,758.92, 23,127.59 and 9,205.57 is: 12,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.92 : 23,127.59 = 9,205.57 : x
  2. Step 2: Convert to fraction form
    16,758.92/23,127.59 = 9,205.57/x
  3. Step 3: Cross multiply
    16,758.92x = 23,127.59 × 9,205.57
  4. Step 4: Simplify right side
    16,758.92x = 212,902,700.60
  5. Step 5: Solve for x
    x = 212,902,700.60/16,758.92
  6. Step 6: Final answer
    x = 12,703.84

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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.