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Finding the Fourth Proportional to 22,567.31, 33,850.58 and 7,775.90

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Solution

The fourth proportional to 22,567.31, 33,850.58 and 7,775.90 is: 11,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.31 : 33,850.58 = 7,775.90 : x
  2. Step 2: Convert to fraction form
    22,567.31/33,850.58 = 7,775.90/x
  3. Step 3: Cross multiply
    22,567.31x = 33,850.58 × 7,775.90
  4. Step 4: Simplify right side
    22,567.31x = 263,218,516.89
  5. Step 5: Solve for x
    x = 263,218,516.89/22,567.31
  6. Step 6: Final answer
    x = 11,663.71

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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.