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Finding the Fourth Proportional to 12,967.15, 19,453.82 and 4,202.05

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Solution

The fourth proportional to 12,967.15, 19,453.82 and 4,202.05 is: 6,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.15 : 19,453.82 = 4,202.05 : x
  2. Step 2: Convert to fraction form
    12,967.15/19,453.82 = 4,202.05/x
  3. Step 3: Cross multiply
    12,967.15x = 19,453.82 × 4,202.05
  4. Step 4: Simplify right side
    12,967.15x = 81,745,924.33
  5. Step 5: Solve for x
    x = 81,745,924.33/12,967.15
  6. Step 6: Final answer
    x = 6,304.08

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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.