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Finding the Fourth Proportional to 15,705.82, 21,673.78 and 8,632.09

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Solution

The fourth proportional to 15,705.82, 21,673.78 and 8,632.09 is: 11,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.82 : 21,673.78 = 8,632.09 : x
  2. Step 2: Convert to fraction form
    15,705.82/21,673.78 = 8,632.09/x
  3. Step 3: Cross multiply
    15,705.82x = 21,673.78 × 8,632.09
  4. Step 4: Simplify right side
    15,705.82x = 187,090,019.60
  5. Step 5: Solve for x
    x = 187,090,019.60/15,705.82
  6. Step 6: Final answer
    x = 11,912.15

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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.