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Finding the Fourth Proportional to 12,762.33, 19,143.49 and 3,997.93

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Solution

The fourth proportional to 12,762.33, 19,143.49 and 3,997.93 is: 5,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.33 : 19,143.49 = 3,997.93 : x
  2. Step 2: Convert to fraction form
    12,762.33/19,143.49 = 3,997.93/x
  3. Step 3: Cross multiply
    12,762.33x = 19,143.49 × 3,997.93
  4. Step 4: Simplify right side
    12,762.33x = 76,534,275.12
  5. Step 5: Solve for x
    x = 76,534,275.12/12,762.33
  6. Step 6: Final answer
    x = 5,996.89

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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.