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Finding the Fourth Proportional to 20,597.75, 28,424.93 and 11,166.33

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Solution

The fourth proportional to 20,597.75, 28,424.93 and 11,166.33 is: 15,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.75 : 28,424.93 = 11,166.33 : x
  2. Step 2: Convert to fraction form
    20,597.75/28,424.93 = 11,166.33/x
  3. Step 3: Cross multiply
    20,597.75x = 28,424.93 × 11,166.33
  4. Step 4: Simplify right side
    20,597.75x = 317,402,092.78
  5. Step 5: Solve for x
    x = 317,402,092.78/20,597.75
  6. Step 6: Final answer
    x = 15,409.56

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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.