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Finding the Fourth Proportional to 12,329.66, 18,496.50 and 6,785.60

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Solution

The fourth proportional to 12,329.66, 18,496.50 and 6,785.60 is: 10,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.66 : 18,496.50 = 6,785.60 : x
  2. Step 2: Convert to fraction form
    12,329.66/18,496.50 = 6,785.60/x
  3. Step 3: Cross multiply
    12,329.66x = 18,496.50 × 6,785.60
  4. Step 4: Simplify right side
    12,329.66x = 125,509,850.40
  5. Step 5: Solve for x
    x = 125,509,850.40/12,329.66
  6. Step 6: Final answer
    x = 10,179.51

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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.