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Finding the Fourth Proportional to 21,850.48, 32,780.58 and 6,269.32

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Solution

The fourth proportional to 21,850.48, 32,780.58 and 6,269.32 is: 9,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.48 : 32,780.58 = 6,269.32 : x
  2. Step 2: Convert to fraction form
    21,850.48/32,780.58 = 6,269.32/x
  3. Step 3: Cross multiply
    21,850.48x = 32,780.58 × 6,269.32
  4. Step 4: Simplify right side
    21,850.48x = 205,511,945.81
  5. Step 5: Solve for x
    x = 205,511,945.81/21,850.48
  6. Step 6: Final answer
    x = 9,405.37

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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.