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Finding the Fourth Proportional to 19,735.75, 27,235.22 and 10,783.02

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Solution

The fourth proportional to 19,735.75, 27,235.22 and 10,783.02 is: 14,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.75 : 27,235.22 = 10,783.02 : x
  2. Step 2: Convert to fraction form
    19,735.75/27,235.22 = 10,783.02/x
  3. Step 3: Cross multiply
    19,735.75x = 27,235.22 × 10,783.02
  4. Step 4: Simplify right side
    19,735.75x = 293,677,921.96
  5. Step 5: Solve for x
    x = 293,677,921.96/19,735.75
  6. Step 6: Final answer
    x = 14,880.51

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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.