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Finding the Fourth Proportional to 26,924.88, 40,384.20 and 7,205

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Solution

The fourth proportional to 26,924.88, 40,384.20 and 7,205 is: 10,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924.88 : 40,384.20 = 7,205 : x
  2. Step 2: Convert to fraction form
    26,924.88/40,384.20 = 7,205/x
  3. Step 3: Cross multiply
    26,924.88x = 40,384.20 × 7,205
  4. Step 4: Simplify right side
    26,924.88x = 290,968,161
  5. Step 5: Solve for x
    x = 290,968,161/26,924.88
  6. Step 6: Final answer
    x = 10,806.67

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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.