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Finding the Fourth Proportional to 12,204.96, 16,842.74 and 6,827.34

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Solution

The fourth proportional to 12,204.96, 16,842.74 and 6,827.34 is: 9,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.96 : 16,842.74 = 6,827.34 : x
  2. Step 2: Convert to fraction form
    12,204.96/16,842.74 = 6,827.34/x
  3. Step 3: Cross multiply
    12,204.96x = 16,842.74 × 6,827.34
  4. Step 4: Simplify right side
    12,204.96x = 114,991,112.51
  5. Step 5: Solve for x
    x = 114,991,112.51/12,204.96
  6. Step 6: Final answer
    x = 9,421.67

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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.