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Finding the Fourth Proportional to 19,735.74, 27,234.90 and 10,783.32

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Solution

The fourth proportional to 19,735.74, 27,234.90 and 10,783.32 is: 14,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.74 : 27,234.90 = 10,783.32 : x
  2. Step 2: Convert to fraction form
    19,735.74/27,234.90 = 10,783.32/x
  3. Step 3: Cross multiply
    19,735.74x = 27,234.90 × 10,783.32
  4. Step 4: Simplify right side
    19,735.74x = 293,682,641.87
  5. Step 5: Solve for x
    x = 293,682,641.87/19,735.74
  6. Step 6: Final answer
    x = 14,880.75

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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.