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Finding the Fourth Proportional to 20,781.89, 31,182.41 and 12,893.67

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Solution

The fourth proportional to 20,781.89, 31,182.41 and 12,893.67 is: 19,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.89 : 31,182.41 = 12,893.67 : x
  2. Step 2: Convert to fraction form
    20,781.89/31,182.41 = 12,893.67/x
  3. Step 3: Cross multiply
    20,781.89x = 31,182.41 × 12,893.67
  4. Step 4: Simplify right side
    20,781.89x = 402,055,619.64
  5. Step 5: Solve for x
    x = 402,055,619.64/20,781.89
  6. Step 6: Final answer
    x = 19,346.45

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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.