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Finding the Fourth Proportional to 29,351.44, 44,022.84 and 9,645.76

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Solution

The fourth proportional to 29,351.44, 44,022.84 and 9,645.76 is: 14,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,351.44 : 44,022.84 = 9,645.76 : x
  2. Step 2: Convert to fraction form
    29,351.44/44,022.84 = 9,645.76/x
  3. Step 3: Cross multiply
    29,351.44x = 44,022.84 × 9,645.76
  4. Step 4: Simplify right side
    29,351.44x = 424,633,749.16
  5. Step 5: Solve for x
    x = 424,633,749.16/29,351.44
  6. Step 6: Final answer
    x = 14,467.22

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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.