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Finding the Fourth Proportional to 15,684, 21,642.84 and 8,608.96

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Solution

The fourth proportional to 15,684, 21,642.84 and 8,608.96 is: 11,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 21,642.84 = 8,608.96 : x
  2. Step 2: Convert to fraction form
    15,684/21,642.84 = 8,608.96/x
  3. Step 3: Cross multiply
    15,684x = 21,642.84 × 8,608.96
  4. Step 4: Simplify right side
    15,684x = 186,322,343.85
  5. Step 5: Solve for x
    x = 186,322,343.85/15,684
  6. Step 6: Final answer
    x = 11,879.77

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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.