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Finding the Fourth Proportional to 16,760.76, 23,137.71 and 9,685.80

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Solution

The fourth proportional to 16,760.76, 23,137.71 and 9,685.80 is: 13,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.76 : 23,137.71 = 9,685.80 : x
  2. Step 2: Convert to fraction form
    16,760.76/23,137.71 = 9,685.80/x
  3. Step 3: Cross multiply
    16,760.76x = 23,137.71 × 9,685.80
  4. Step 4: Simplify right side
    16,760.76x = 224,107,231.52
  5. Step 5: Solve for x
    x = 224,107,231.52/16,760.76
  6. Step 6: Final answer
    x = 13,370.95

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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.