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Finding the Fourth Proportional to 23,825.56, 35,738.88 and 9,041.44

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Solution

The fourth proportional to 23,825.56, 35,738.88 and 9,041.44 is: 13,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.56 : 35,738.88 = 9,041.44 : x
  2. Step 2: Convert to fraction form
    23,825.56/35,738.88 = 9,041.44/x
  3. Step 3: Cross multiply
    23,825.56x = 35,738.88 × 9,041.44
  4. Step 4: Simplify right side
    23,825.56x = 323,130,939.19
  5. Step 5: Solve for x
    x = 323,130,939.19/23,825.56
  6. Step 6: Final answer
    x = 13,562.36

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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.