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Finding the Fourth Proportional to 15,816.75, 21,815.78 and 9,766.86

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Solution

The fourth proportional to 15,816.75, 21,815.78 and 9,766.86 is: 13,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.75 : 21,815.78 = 9,766.86 : x
  2. Step 2: Convert to fraction form
    15,816.75/21,815.78 = 9,766.86/x
  3. Step 3: Cross multiply
    15,816.75x = 21,815.78 × 9,766.86
  4. Step 4: Simplify right side
    15,816.75x = 213,071,620.22
  5. Step 5: Solve for x
    x = 213,071,620.22/15,816.75
  6. Step 6: Final answer
    x = 13,471.26

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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.