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Finding the Fourth Proportional to 12,967.86, 19,451.90 and 4,202.77

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Solution

The fourth proportional to 12,967.86, 19,451.90 and 4,202.77 is: 6,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.86 : 19,451.90 = 4,202.77 : x
  2. Step 2: Convert to fraction form
    12,967.86/19,451.90 = 4,202.77/x
  3. Step 3: Cross multiply
    12,967.86x = 19,451.90 × 4,202.77
  4. Step 4: Simplify right side
    12,967.86x = 81,751,861.76
  5. Step 5: Solve for x
    x = 81,751,861.76/12,967.86
  6. Step 6: Final answer
    x = 6,304.19

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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.