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Finding the Fourth Proportional to 12,770.94, 19,156.50 and 4,451.10

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Solution

The fourth proportional to 12,770.94, 19,156.50 and 4,451.10 is: 6,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.94 : 19,156.50 = 4,451.10 : x
  2. Step 2: Convert to fraction form
    12,770.94/19,156.50 = 4,451.10/x
  3. Step 3: Cross multiply
    12,770.94x = 19,156.50 × 4,451.10
  4. Step 4: Simplify right side
    12,770.94x = 85,267,497.15
  5. Step 5: Solve for x
    x = 85,267,497.15/12,770.94
  6. Step 6: Final answer
    x = 6,676.68

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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.