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Finding the Fourth Proportional to 12,770.40, 19,161.88 and 5,755.26

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Solution

The fourth proportional to 12,770.40, 19,161.88 and 5,755.26 is: 8,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.40 : 19,161.88 = 5,755.26 : x
  2. Step 2: Convert to fraction form
    12,770.40/19,161.88 = 5,755.26/x
  3. Step 3: Cross multiply
    12,770.40x = 19,161.88 × 5,755.26
  4. Step 4: Simplify right side
    12,770.40x = 110,281,601.49
  5. Step 5: Solve for x
    x = 110,281,601.49/12,770.40
  6. Step 6: Final answer
    x = 8,635.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.