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Finding the Fourth Proportional to 12,646.14, 18,961.11 and 5,255.70

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Solution

The fourth proportional to 12,646.14, 18,961.11 and 5,255.70 is: 7,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.14 : 18,961.11 = 5,255.70 : x
  2. Step 2: Convert to fraction form
    12,646.14/18,961.11 = 5,255.70/x
  3. Step 3: Cross multiply
    12,646.14x = 18,961.11 × 5,255.70
  4. Step 4: Simplify right side
    12,646.14x = 99,653,905.83
  5. Step 5: Solve for x
    x = 99,653,905.83/12,646.14
  6. Step 6: Final answer
    x = 7,880.18

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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.