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Finding the Fourth Proportional to 12,770.34, 19,155.52 and 3,410.38

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Solution

The fourth proportional to 12,770.34, 19,155.52 and 3,410.38 is: 5,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.34 : 19,155.52 = 3,410.38 : x
  2. Step 2: Convert to fraction form
    12,770.34/19,155.52 = 3,410.38/x
  3. Step 3: Cross multiply
    12,770.34x = 19,155.52 × 3,410.38
  4. Step 4: Simplify right side
    12,770.34x = 65,327,602.30
  5. Step 5: Solve for x
    x = 65,327,602.30/12,770.34
  6. Step 6: Final answer
    x = 5,115.57

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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.