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Finding the Fourth Proportional to 12,762.17, 19,143.26 and 3,997.77

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Solution

The fourth proportional to 12,762.17, 19,143.26 and 3,997.77 is: 5,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.17 : 19,143.26 = 3,997.77 : x
  2. Step 2: Convert to fraction form
    12,762.17/19,143.26 = 3,997.77/x
  3. Step 3: Cross multiply
    12,762.17x = 19,143.26 × 3,997.77
  4. Step 4: Simplify right side
    12,762.17x = 76,530,254.81
  5. Step 5: Solve for x
    x = 76,530,254.81/12,762.17
  6. Step 6: Final answer
    x = 5,996.65

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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.