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Finding the Fourth Proportional to 15,105.49, 22,651.85 and 8,084.00

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Solution

The fourth proportional to 15,105.49, 22,651.85 and 8,084.00 is: 12,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.49 : 22,651.85 = 8,084.00 : x
  2. Step 2: Convert to fraction form
    15,105.49/22,651.85 = 8,084.00/x
  3. Step 3: Cross multiply
    15,105.49x = 22,651.85 × 8,084.00
  4. Step 4: Simplify right side
    15,105.49x = 183,117,632.24
  5. Step 5: Solve for x
    x = 183,117,632.24/15,105.49
  6. Step 6: Final answer
    x = 12,122.59

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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.