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Finding the Fourth Proportional to 21,800.50, 32,701.07 and 6,218.13

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Solution

The fourth proportional to 21,800.50, 32,701.07 and 6,218.13 is: 9,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.50 : 32,701.07 = 6,218.13 : x
  2. Step 2: Convert to fraction form
    21,800.50/32,701.07 = 6,218.13/x
  3. Step 3: Cross multiply
    21,800.50x = 32,701.07 × 6,218.13
  4. Step 4: Simplify right side
    21,800.50x = 203,339,504.40
  5. Step 5: Solve for x
    x = 203,339,504.40/21,800.50
  6. Step 6: Final answer
    x = 9,327.29

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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.