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Finding the Fourth Proportional to 23,841.81, 35,762.72 and 6,313.01

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Solution

The fourth proportional to 23,841.81, 35,762.72 and 6,313.01 is: 9,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.81 : 35,762.72 = 6,313.01 : x
  2. Step 2: Convert to fraction form
    23,841.81/35,762.72 = 6,313.01/x
  3. Step 3: Cross multiply
    23,841.81x = 35,762.72 × 6,313.01
  4. Step 4: Simplify right side
    23,841.81x = 225,770,198.61
  5. Step 5: Solve for x
    x = 225,770,198.61/23,841.81
  6. Step 6: Final answer
    x = 9,469.51

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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.