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Finding the Fourth Proportional to 12,154.54, 16,773.26 and 6,849.54

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Solution

The fourth proportional to 12,154.54, 16,773.26 and 6,849.54 is: 9,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.54 : 16,773.26 = 6,849.54 : x
  2. Step 2: Convert to fraction form
    12,154.54/16,773.26 = 6,849.54/x
  3. Step 3: Cross multiply
    12,154.54x = 16,773.26 × 6,849.54
  4. Step 4: Simplify right side
    12,154.54x = 114,889,081.05
  5. Step 5: Solve for x
    x = 114,889,081.05/12,154.54
  6. Step 6: Final answer
    x = 9,452.36

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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.