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Finding the Fourth Proportional to 12,165.58, 16,783.57 and 8,585.73

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Solution

The fourth proportional to 12,165.58, 16,783.57 and 8,585.73 is: 11,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.58 : 16,783.57 = 8,585.73 : x
  2. Step 2: Convert to fraction form
    12,165.58/16,783.57 = 8,585.73/x
  3. Step 3: Cross multiply
    12,165.58x = 16,783.57 × 8,585.73
  4. Step 4: Simplify right side
    12,165.58x = 144,099,200.46
  5. Step 5: Solve for x
    x = 144,099,200.46/12,165.58
  6. Step 6: Final answer
    x = 11,844.83

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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.