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Finding the Fourth Proportional to 26,409.44, 39,616.76 and 7,689.67

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Solution

The fourth proportional to 26,409.44, 39,616.76 and 7,689.67 is: 11,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,409.44 : 39,616.76 = 7,689.67 : x
  2. Step 2: Convert to fraction form
    26,409.44/39,616.76 = 7,689.67/x
  3. Step 3: Cross multiply
    26,409.44x = 39,616.76 × 7,689.67
  4. Step 4: Simplify right side
    26,409.44x = 304,639,731.05
  5. Step 5: Solve for x
    x = 304,639,731.05/26,409.44
  6. Step 6: Final answer
    x = 11,535.26

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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.