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Finding the Fourth Proportional to 12,785.92, 19,182.83 and 6,550.34

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Solution

The fourth proportional to 12,785.92, 19,182.83 and 6,550.34 is: 9,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.92 : 19,182.83 = 6,550.34 : x
  2. Step 2: Convert to fraction form
    12,785.92/19,182.83 = 6,550.34/x
  3. Step 3: Cross multiply
    12,785.92x = 19,182.83 × 6,550.34
  4. Step 4: Simplify right side
    12,785.92x = 125,653,930.00
  5. Step 5: Solve for x
    x = 125,653,930.00/12,785.92
  6. Step 6: Final answer
    x = 9,827.53

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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.