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Finding the Fourth Proportional to 21,800.76, 32,706 and 7,949.76

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Solution

The fourth proportional to 21,800.76, 32,706 and 7,949.76 is: 11,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.76 : 32,706 = 7,949.76 : x
  2. Step 2: Convert to fraction form
    21,800.76/32,706 = 7,949.76/x
  3. Step 3: Cross multiply
    21,800.76x = 32,706 × 7,949.76
  4. Step 4: Simplify right side
    21,800.76x = 260,004,850.56
  5. Step 5: Solve for x
    x = 260,004,850.56/21,800.76
  6. Step 6: Final answer
    x = 11,926.41

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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.