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Finding the Fourth Proportional to 12,744.59, 19,116.89 and 3,980.19

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Solution

The fourth proportional to 12,744.59, 19,116.89 and 3,980.19 is: 5,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.59 : 19,116.89 = 3,980.19 : x
  2. Step 2: Convert to fraction form
    12,744.59/19,116.89 = 3,980.19/x
  3. Step 3: Cross multiply
    12,744.59x = 19,116.89 × 3,980.19
  4. Step 4: Simplify right side
    12,744.59x = 76,088,786.72
  5. Step 5: Solve for x
    x = 76,088,786.72/12,744.59
  6. Step 6: Final answer
    x = 5,970.28

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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.