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Finding the Fourth Proportional to 21,786.84, 32,683.50 and 6,996.24

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Solution

The fourth proportional to 21,786.84, 32,683.50 and 6,996.24 is: 10,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.84 : 32,683.50 = 6,996.24 : x
  2. Step 2: Convert to fraction form
    21,786.84/32,683.50 = 6,996.24/x
  3. Step 3: Cross multiply
    21,786.84x = 32,683.50 × 6,996.24
  4. Step 4: Simplify right side
    21,786.84x = 228,661,610.04
  5. Step 5: Solve for x
    x = 228,661,610.04/21,786.84
  6. Step 6: Final answer
    x = 10,495.40

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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.