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Finding the Fourth Proportional to 15,705.27, 21,674.70 and 8,633.07

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Solution

The fourth proportional to 15,705.27, 21,674.70 and 8,633.07 is: 11,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.27 : 21,674.70 = 8,633.07 : x
  2. Step 2: Convert to fraction form
    15,705.27/21,674.70 = 8,633.07/x
  3. Step 3: Cross multiply
    15,705.27x = 21,674.70 × 8,633.07
  4. Step 4: Simplify right side
    15,705.27x = 187,119,202.33
  5. Step 5: Solve for x
    x = 187,119,202.33/15,705.27
  6. Step 6: Final answer
    x = 11,914.42

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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.