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Finding the Fourth Proportional to 26,926.14, 40,389.75 and 7,204.67

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Solution

The fourth proportional to 26,926.14, 40,389.75 and 7,204.67 is: 10,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926.14 : 40,389.75 = 7,204.67 : x
  2. Step 2: Convert to fraction form
    26,926.14/40,389.75 = 7,204.67/x
  3. Step 3: Cross multiply
    26,926.14x = 40,389.75 × 7,204.67
  4. Step 4: Simplify right side
    26,926.14x = 290,994,618.18
  5. Step 5: Solve for x
    x = 290,994,618.18/26,926.14
  6. Step 6: Final answer
    x = 10,807.14

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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.