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Finding the Fourth Proportional to 26,448.50, 39,674.37 and 7,980.50

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Solution

The fourth proportional to 26,448.50, 39,674.37 and 7,980.50 is: 11,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.50 : 39,674.37 = 7,980.50 : x
  2. Step 2: Convert to fraction form
    26,448.50/39,674.37 = 7,980.50/x
  3. Step 3: Cross multiply
    26,448.50x = 39,674.37 × 7,980.50
  4. Step 4: Simplify right side
    26,448.50x = 316,621,309.79
  5. Step 5: Solve for x
    x = 316,621,309.79/26,448.50
  6. Step 6: Final answer
    x = 11,971.24

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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.