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Finding the Fourth Proportional to 12,861.64, 19,298.94 and 5,941

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Solution

The fourth proportional to 12,861.64, 19,298.94 and 5,941 is: 8,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.64 : 19,298.94 = 5,941 : x
  2. Step 2: Convert to fraction form
    12,861.64/19,298.94 = 5,941/x
  3. Step 3: Cross multiply
    12,861.64x = 19,298.94 × 5,941
  4. Step 4: Simplify right side
    12,861.64x = 114,655,002.54
  5. Step 5: Solve for x
    x = 114,655,002.54/12,861.64
  6. Step 6: Final answer
    x = 8,914.49

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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.