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Finding the Fourth Proportional to 21,651.75, 32,478.57 and 6,861.76

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Solution

The fourth proportional to 21,651.75, 32,478.57 and 6,861.76 is: 10,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651.75 : 32,478.57 = 6,861.76 : x
  2. Step 2: Convert to fraction form
    21,651.75/32,478.57 = 6,861.76/x
  3. Step 3: Cross multiply
    21,651.75x = 32,478.57 × 6,861.76
  4. Step 4: Simplify right side
    21,651.75x = 222,860,071.29
  5. Step 5: Solve for x
    x = 222,860,071.29/21,651.75
  6. Step 6: Final answer
    x = 10,292.94

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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.