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Finding the Fourth Proportional to 26,724, 40,090.85 and 9,189.93

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Solution

The fourth proportional to 26,724, 40,090.85 and 9,189.93 is: 13,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 40,090.85 = 9,189.93 : x
  2. Step 2: Convert to fraction form
    26,724/40,090.85 = 9,189.93/x
  3. Step 3: Cross multiply
    26,724x = 40,090.85 × 9,189.93
  4. Step 4: Simplify right side
    26,724x = 368,432,105.14
  5. Step 5: Solve for x
    x = 368,432,105.14/26,724
  6. Step 6: Final answer
    x = 13,786.56

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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.