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Finding the Fourth Proportional to 21,179.44, 31,735.74 and 7,834.12

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Solution

The fourth proportional to 21,179.44, 31,735.74 and 7,834.12 is: 11,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.44 : 31,735.74 = 7,834.12 : x
  2. Step 2: Convert to fraction form
    21,179.44/31,735.74 = 7,834.12/x
  3. Step 3: Cross multiply
    21,179.44x = 31,735.74 × 7,834.12
  4. Step 4: Simplify right side
    21,179.44x = 248,621,595.45
  5. Step 5: Solve for x
    x = 248,621,595.45/21,179.44
  6. Step 6: Final answer
    x = 11,738.82

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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.