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Finding the Fourth Proportional to 16,872.60, 23,283.86 and 9,318.80

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Solution

The fourth proportional to 16,872.60, 23,283.86 and 9,318.80 is: 12,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.60 : 23,283.86 = 9,318.80 : x
  2. Step 2: Convert to fraction form
    16,872.60/23,283.86 = 9,318.80/x
  3. Step 3: Cross multiply
    16,872.60x = 23,283.86 × 9,318.80
  4. Step 4: Simplify right side
    16,872.60x = 216,977,634.57
  5. Step 5: Solve for x
    x = 216,977,634.57/16,872.60
  6. Step 6: Final answer
    x = 12,859.76

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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.