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Finding the Fourth Proportional to 16,682.25, 23,025.62 and 9,971.86

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Solution

The fourth proportional to 16,682.25, 23,025.62 and 9,971.86 is: 13,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.25 : 23,025.62 = 9,971.86 : x
  2. Step 2: Convert to fraction form
    16,682.25/23,025.62 = 9,971.86/x
  3. Step 3: Cross multiply
    16,682.25x = 23,025.62 × 9,971.86
  4. Step 4: Simplify right side
    16,682.25x = 229,608,213.50
  5. Step 5: Solve for x
    x = 229,608,213.50/16,682.25
  6. Step 6: Final answer
    x = 13,763.62

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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.