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Finding the Fourth Proportional to 20,166, 27,829.08 and 11,782.56

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Solution

The fourth proportional to 20,166, 27,829.08 and 11,782.56 is: 16,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166 : 27,829.08 = 11,782.56 : x
  2. Step 2: Convert to fraction form
    20,166/27,829.08 = 11,782.56/x
  3. Step 3: Cross multiply
    20,166x = 27,829.08 × 11,782.56
  4. Step 4: Simplify right side
    20,166x = 327,897,804.84
  5. Step 5: Solve for x
    x = 327,897,804.84/20,166
  6. Step 6: Final answer
    x = 16,259.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.