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Finding the Fourth Proportional to 21,852.16, 32,778.06 and 6,269.80

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Solution

The fourth proportional to 21,852.16, 32,778.06 and 6,269.80 is: 9,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.16 : 32,778.06 = 6,269.80 : x
  2. Step 2: Convert to fraction form
    21,852.16/32,778.06 = 6,269.80/x
  3. Step 3: Cross multiply
    21,852.16x = 32,778.06 × 6,269.80
  4. Step 4: Simplify right side
    21,852.16x = 205,511,880.59
  5. Step 5: Solve for x
    x = 205,511,880.59/21,852.16
  6. Step 6: Final answer
    x = 9,404.65

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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.