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Finding the Fourth Proportional to 13,770.72, 19,004.74 and 8,466.84

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Solution

The fourth proportional to 13,770.72, 19,004.74 and 8,466.84 is: 11,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.72 : 19,004.74 = 8,466.84 : x
  2. Step 2: Convert to fraction form
    13,770.72/19,004.74 = 8,466.84/x
  3. Step 3: Cross multiply
    13,770.72x = 19,004.74 × 8,466.84
  4. Step 4: Simplify right side
    13,770.72x = 160,910,092.82
  5. Step 5: Solve for x
    x = 160,910,092.82/13,770.72
  6. Step 6: Final answer
    x = 11,684.94

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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.