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Finding the Fourth Proportional to 16,186.70, 24,280.31 and 7,865.00

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Solution

The fourth proportional to 16,186.70, 24,280.31 and 7,865.00 is: 11,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.70 : 24,280.31 = 7,865.00 : x
  2. Step 2: Convert to fraction form
    16,186.70/24,280.31 = 7,865.00/x
  3. Step 3: Cross multiply
    16,186.70x = 24,280.31 × 7,865.00
  4. Step 4: Simplify right side
    16,186.70x = 190,964,632.99
  5. Step 5: Solve for x
    x = 190,964,632.99/16,186.70
  6. Step 6: Final answer
    x = 11,797.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.