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Finding the Fourth Proportional to 12,762.09, 19,141.60 and 3,402.81

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Solution

The fourth proportional to 12,762.09, 19,141.60 and 3,402.81 is: 5,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.09 : 19,141.60 = 3,402.81 : x
  2. Step 2: Convert to fraction form
    12,762.09/19,141.60 = 3,402.81/x
  3. Step 3: Cross multiply
    12,762.09x = 19,141.60 × 3,402.81
  4. Step 4: Simplify right side
    12,762.09x = 65,135,227.90
  5. Step 5: Solve for x
    x = 65,135,227.90/12,762.09
  6. Step 6: Final answer
    x = 5,103.81

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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.