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Finding the Fourth Proportional to 23,820.30, 35,709.21 and 9,039.56

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Solution

The fourth proportional to 23,820.30, 35,709.21 and 9,039.56 is: 13,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.30 : 35,709.21 = 9,039.56 : x
  2. Step 2: Convert to fraction form
    23,820.30/35,709.21 = 9,039.56/x
  3. Step 3: Cross multiply
    23,820.30x = 35,709.21 × 9,039.56
  4. Step 4: Simplify right side
    23,820.30x = 322,795,367.80
  5. Step 5: Solve for x
    x = 322,795,367.80/23,820.30
  6. Step 6: Final answer
    x = 13,551.27

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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.