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Finding the Fourth Proportional to 23,105.77, 34,658.65 and 9,072.41

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Solution

The fourth proportional to 23,105.77, 34,658.65 and 9,072.41 is: 13,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.77 : 34,658.65 = 9,072.41 : x
  2. Step 2: Convert to fraction form
    23,105.77/34,658.65 = 9,072.41/x
  3. Step 3: Cross multiply
    23,105.77x = 34,658.65 × 9,072.41
  4. Step 4: Simplify right side
    23,105.77x = 314,437,482.85
  5. Step 5: Solve for x
    x = 314,437,482.85/23,105.77
  6. Step 6: Final answer
    x = 13,608.61

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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.