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Finding the Fourth Proportional to 15,231.54, 22,828.32 and 8,194.08

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Solution

The fourth proportional to 15,231.54, 22,828.32 and 8,194.08 is: 12,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.54 : 22,828.32 = 8,194.08 : x
  2. Step 2: Convert to fraction form
    15,231.54/22,828.32 = 8,194.08/x
  3. Step 3: Cross multiply
    15,231.54x = 22,828.32 × 8,194.08
  4. Step 4: Simplify right side
    15,231.54x = 187,057,080.35
  5. Step 5: Solve for x
    x = 187,057,080.35/15,231.54
  6. Step 6: Final answer
    x = 12,280.90

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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.