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Finding the Fourth Proportional to 22,767.12, 34,150.64 and 7,185.96

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Solution

The fourth proportional to 22,767.12, 34,150.64 and 7,185.96 is: 10,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.12 : 34,150.64 = 7,185.96 : x
  2. Step 2: Convert to fraction form
    22,767.12/34,150.64 = 7,185.96/x
  3. Step 3: Cross multiply
    22,767.12x = 34,150.64 × 7,185.96
  4. Step 4: Simplify right side
    22,767.12x = 245,405,097.08
  5. Step 5: Solve for x
    x = 245,405,097.08/22,767.12
  6. Step 6: Final answer
    x = 10,778.93

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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.