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Finding the Fourth Proportional to 12,967.57, 19,451.22 and 4,202.29

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Solution

The fourth proportional to 12,967.57, 19,451.22 and 4,202.29 is: 6,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.57 : 19,451.22 = 4,202.29 : x
  2. Step 2: Convert to fraction form
    12,967.57/19,451.22 = 4,202.29/x
  3. Step 3: Cross multiply
    12,967.57x = 19,451.22 × 4,202.29
  4. Step 4: Simplify right side
    12,967.57x = 81,739,667.29
  5. Step 5: Solve for x
    x = 81,739,667.29/12,967.57
  6. Step 6: Final answer
    x = 6,303.39

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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.