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Finding the Fourth Proportional to 20,842.75, 28,765.74 and 11,888.20

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Solution

The fourth proportional to 20,842.75, 28,765.74 and 11,888.20 is: 16,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.75 : 28,765.74 = 11,888.20 : x
  2. Step 2: Convert to fraction form
    20,842.75/28,765.74 = 11,888.20/x
  3. Step 3: Cross multiply
    20,842.75x = 28,765.74 × 11,888.20
  4. Step 4: Simplify right side
    20,842.75x = 341,972,870.27
  5. Step 5: Solve for x
    x = 341,972,870.27/20,842.75
  6. Step 6: Final answer
    x = 16,407.28

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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.