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Finding the Fourth Proportional to 12,382.80, 18,585.96 and 7,688.58

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Solution

The fourth proportional to 12,382.80, 18,585.96 and 7,688.58 is: 11,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.80 : 18,585.96 = 7,688.58 : x
  2. Step 2: Convert to fraction form
    12,382.80/18,585.96 = 7,688.58/x
  3. Step 3: Cross multiply
    12,382.80x = 18,585.96 × 7,688.58
  4. Step 4: Simplify right side
    12,382.80x = 142,899,640.34
  5. Step 5: Solve for x
    x = 142,899,640.34/12,382.80
  6. Step 6: Final answer
    x = 11,540.17

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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.