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Finding the Fourth Proportional to 19,735.77, 27,234.87 and 10,783.32

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Solution

The fourth proportional to 19,735.77, 27,234.87 and 10,783.32 is: 14,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.77 : 27,234.87 = 10,783.32 : x
  2. Step 2: Convert to fraction form
    19,735.77/27,234.87 = 10,783.32/x
  3. Step 3: Cross multiply
    19,735.77x = 27,234.87 × 10,783.32
  4. Step 4: Simplify right side
    19,735.77x = 293,682,318.37
  5. Step 5: Solve for x
    x = 293,682,318.37/19,735.77
  6. Step 6: Final answer
    x = 14,880.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.