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Finding the Fourth Proportional to 23,078.76, 34,632.86 and 8,287.36

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Solution

The fourth proportional to 23,078.76, 34,632.86 and 8,287.36 is: 12,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.76 : 34,632.86 = 8,287.36 : x
  2. Step 2: Convert to fraction form
    23,078.76/34,632.86 = 8,287.36/x
  3. Step 3: Cross multiply
    23,078.76x = 34,632.86 × 8,287.36
  4. Step 4: Simplify right side
    23,078.76x = 287,014,978.65
  5. Step 5: Solve for x
    x = 287,014,978.65/23,078.76
  6. Step 6: Final answer
    x = 12,436.33

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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.