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Finding the Fourth Proportional to 20,842.76, 28,765.32 and 11,892.47

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Solution

The fourth proportional to 20,842.76, 28,765.32 and 11,892.47 is: 16,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.76 : 28,765.32 = 11,892.47 : x
  2. Step 2: Convert to fraction form
    20,842.76/28,765.32 = 11,892.47/x
  3. Step 3: Cross multiply
    20,842.76x = 28,765.32 × 11,892.47
  4. Step 4: Simplify right side
    20,842.76x = 342,090,705.14
  5. Step 5: Solve for x
    x = 342,090,705.14/20,842.76
  6. Step 6: Final answer
    x = 16,412.93

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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.