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Finding the Fourth Proportional to 15,842.37, 21,861.84 and 8,768.64

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Solution

The fourth proportional to 15,842.37, 21,861.84 and 8,768.64 is: 12,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.37 : 21,861.84 = 8,768.64 : x
  2. Step 2: Convert to fraction form
    15,842.37/21,861.84 = 8,768.64/x
  3. Step 3: Cross multiply
    15,842.37x = 21,861.84 × 8,768.64
  4. Step 4: Simplify right side
    15,842.37x = 191,698,604.70
  5. Step 5: Solve for x
    x = 191,698,604.70/15,842.37
  6. Step 6: Final answer
    x = 12,100.37

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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.