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Finding the Fourth Proportional to 20,842.59, 28,761.66 and 11,409.33

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Solution

The fourth proportional to 20,842.59, 28,761.66 and 11,409.33 is: 15,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.59 : 28,761.66 = 11,409.33 : x
  2. Step 2: Convert to fraction form
    20,842.59/28,761.66 = 11,409.33/x
  3. Step 3: Cross multiply
    20,842.59x = 28,761.66 × 11,409.33
  4. Step 4: Simplify right side
    20,842.59x = 328,151,270.29
  5. Step 5: Solve for x
    x = 328,151,270.29/20,842.59
  6. Step 6: Final answer
    x = 15,744.27

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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.