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Finding the Fourth Proportional to 20,783.37, 31,175.06 and 9,697.83

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Solution

The fourth proportional to 20,783.37, 31,175.06 and 9,697.83 is: 14,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.37 : 31,175.06 = 9,697.83 : x
  2. Step 2: Convert to fraction form
    20,783.37/31,175.06 = 9,697.83/x
  3. Step 3: Cross multiply
    20,783.37x = 31,175.06 × 9,697.83
  4. Step 4: Simplify right side
    20,783.37x = 302,330,383.63
  5. Step 5: Solve for x
    x = 302,330,383.63/20,783.37
  6. Step 6: Final answer
    x = 14,546.75

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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.