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Finding the Fourth Proportional to 26,186.96, 39,280.68 and 7,467

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Solution

The fourth proportional to 26,186.96, 39,280.68 and 7,467 is: 11,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,186.96 : 39,280.68 = 7,467 : x
  2. Step 2: Convert to fraction form
    26,186.96/39,280.68 = 7,467/x
  3. Step 3: Cross multiply
    26,186.96x = 39,280.68 × 7,467
  4. Step 4: Simplify right side
    26,186.96x = 293,308,837.56
  5. Step 5: Solve for x
    x = 293,308,837.56/26,186.96
  6. Step 6: Final answer
    x = 11,200.57

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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.