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Finding the Fourth Proportional to 22,664.44, 33,947.34 and 10,953

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Solution

The fourth proportional to 22,664.44, 33,947.34 and 10,953 is: 16,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.44 : 33,947.34 = 10,953 : x
  2. Step 2: Convert to fraction form
    22,664.44/33,947.34 = 10,953/x
  3. Step 3: Cross multiply
    22,664.44x = 33,947.34 × 10,953
  4. Step 4: Simplify right side
    22,664.44x = 371,825,215.02
  5. Step 5: Solve for x
    x = 371,825,215.02/22,664.44
  6. Step 6: Final answer
    x = 16,405.67

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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.