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Finding the Fourth Proportional to 29,186, 43,785.39 and 9,466.55

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Solution

The fourth proportional to 29,186, 43,785.39 and 9,466.55 is: 14,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 43,785.39 = 9,466.55 : x
  2. Step 2: Convert to fraction form
    29,186/43,785.39 = 9,466.55/x
  3. Step 3: Cross multiply
    29,186x = 43,785.39 × 9,466.55
  4. Step 4: Simplify right side
    29,186x = 414,496,583.70
  5. Step 5: Solve for x
    x = 414,496,583.70/29,186
  6. Step 6: Final answer
    x = 14,201.90

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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.