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Finding the Fourth Proportional to 12,190.61, 18,260.39 and 7,785.65

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Solution

The fourth proportional to 12,190.61, 18,260.39 and 7,785.65 is: 11,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.61 : 18,260.39 = 7,785.65 : x
  2. Step 2: Convert to fraction form
    12,190.61/18,260.39 = 7,785.65/x
  3. Step 3: Cross multiply
    12,190.61x = 18,260.39 × 7,785.65
  4. Step 4: Simplify right side
    12,190.61x = 142,168,933.57
  5. Step 5: Solve for x
    x = 142,168,933.57/12,190.61
  6. Step 6: Final answer
    x = 11,662.17

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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.