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Finding the Fourth Proportional to 12,147.75, 16,763.87 and 6,842.45

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Solution

The fourth proportional to 12,147.75, 16,763.87 and 6,842.45 is: 9,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.75 : 16,763.87 = 6,842.45 : x
  2. Step 2: Convert to fraction form
    12,147.75/16,763.87 = 6,842.45/x
  3. Step 3: Cross multiply
    12,147.75x = 16,763.87 × 6,842.45
  4. Step 4: Simplify right side
    12,147.75x = 114,705,824.25
  5. Step 5: Solve for x
    x = 114,705,824.25/12,147.75
  6. Step 6: Final answer
    x = 9,442.56

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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.