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Finding the Fourth Proportional to 20,102.85, 27,734.60 and 12,036.75

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Solution

The fourth proportional to 20,102.85, 27,734.60 and 12,036.75 is: 16,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.85 : 27,734.60 = 12,036.75 : x
  2. Step 2: Convert to fraction form
    20,102.85/27,734.60 = 12,036.75/x
  3. Step 3: Cross multiply
    20,102.85x = 27,734.60 × 12,036.75
  4. Step 4: Simplify right side
    20,102.85x = 333,834,386.37
  5. Step 5: Solve for x
    x = 333,834,386.37/20,102.85
  6. Step 6: Final answer
    x = 16,606.32

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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.