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Finding the Fourth Proportional to 23,223.78, 34,841.07 and 7,641.54

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Solution

The fourth proportional to 23,223.78, 34,841.07 and 7,641.54 is: 11,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.78 : 34,841.07 = 7,641.54 : x
  2. Step 2: Convert to fraction form
    23,223.78/34,841.07 = 7,641.54/x
  3. Step 3: Cross multiply
    23,223.78x = 34,841.07 × 7,641.54
  4. Step 4: Simplify right side
    23,223.78x = 266,239,430.05
  5. Step 5: Solve for x
    x = 266,239,430.05/23,223.78
  6. Step 6: Final answer
    x = 11,464.09

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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.