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Finding the Fourth Proportional to 20,783.88, 31,158 and 14,190.48

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Solution

The fourth proportional to 20,783.88, 31,158 and 14,190.48 is: 21,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.88 : 31,158 = 14,190.48 : x
  2. Step 2: Convert to fraction form
    20,783.88/31,158 = 14,190.48/x
  3. Step 3: Cross multiply
    20,783.88x = 31,158 × 14,190.48
  4. Step 4: Simplify right side
    20,783.88x = 442,146,975.84
  5. Step 5: Solve for x
    x = 442,146,975.84/20,783.88
  6. Step 6: Final answer
    x = 21,273.55

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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.