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Finding the Fourth Proportional to 21,850.09, 32,780 and 6,266.50

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Solution

The fourth proportional to 21,850.09, 32,780 and 6,266.50 is: 9,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.09 : 32,780 = 6,266.50 : x
  2. Step 2: Convert to fraction form
    21,850.09/32,780 = 6,266.50/x
  3. Step 3: Cross multiply
    21,850.09x = 32,780 × 6,266.50
  4. Step 4: Simplify right side
    21,850.09x = 205,415,870
  5. Step 5: Solve for x
    x = 205,415,870/21,850.09
  6. Step 6: Final answer
    x = 9,401.15

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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.