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Finding the Fourth Proportional to 16,186.36, 24,251.64 and 7,854.88

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Solution

The fourth proportional to 16,186.36, 24,251.64 and 7,854.88 is: 11,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.36 : 24,251.64 = 7,854.88 : x
  2. Step 2: Convert to fraction form
    16,186.36/24,251.64 = 7,854.88/x
  3. Step 3: Cross multiply
    16,186.36x = 24,251.64 × 7,854.88
  4. Step 4: Simplify right side
    16,186.36x = 190,493,722.00
  5. Step 5: Solve for x
    x = 190,493,722.00/16,186.36
  6. Step 6: Final answer
    x = 11,768.78

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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.