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Finding the Fourth Proportional to 21,676.86, 32,518.38 and 6,685.24

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Solution

The fourth proportional to 21,676.86, 32,518.38 and 6,685.24 is: 10,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.86 : 32,518.38 = 6,685.24 : x
  2. Step 2: Convert to fraction form
    21,676.86/32,518.38 = 6,685.24/x
  3. Step 3: Cross multiply
    21,676.86x = 32,518.38 × 6,685.24
  4. Step 4: Simplify right side
    21,676.86x = 217,393,050.39
  5. Step 5: Solve for x
    x = 217,393,050.39/21,676.86
  6. Step 6: Final answer
    x = 10,028.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.