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Finding the Fourth Proportional to 15,705.76, 21,674.04 and 8,632.24

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Solution

The fourth proportional to 15,705.76, 21,674.04 and 8,632.24 is: 11,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.76 : 21,674.04 = 8,632.24 : x
  2. Step 2: Convert to fraction form
    15,705.76/21,674.04 = 8,632.24/x
  3. Step 3: Cross multiply
    15,705.76x = 21,674.04 × 8,632.24
  4. Step 4: Simplify right side
    15,705.76x = 187,095,515.05
  5. Step 5: Solve for x
    x = 187,095,515.05/15,705.76
  6. Step 6: Final answer
    x = 11,912.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.