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Finding the Fourth Proportional to 15,706.44, 21,674.75 and 8,632.83

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Solution

The fourth proportional to 15,706.44, 21,674.75 and 8,632.83 is: 11,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.44 : 21,674.75 = 8,632.83 : x
  2. Step 2: Convert to fraction form
    15,706.44/21,674.75 = 8,632.83/x
  3. Step 3: Cross multiply
    15,706.44x = 21,674.75 × 8,632.83
  4. Step 4: Simplify right side
    15,706.44x = 187,114,388.88
  5. Step 5: Solve for x
    x = 187,114,388.88/15,706.44
  6. Step 6: Final answer
    x = 11,913.23

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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.