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Finding the Fourth Proportional to 20,597.68, 28,424.82 and 11,166.18

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Solution

The fourth proportional to 20,597.68, 28,424.82 and 11,166.18 is: 15,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.68 : 28,424.82 = 11,166.18 : x
  2. Step 2: Convert to fraction form
    20,597.68/28,424.82 = 11,166.18/x
  3. Step 3: Cross multiply
    20,597.68x = 28,424.82 × 11,166.18
  4. Step 4: Simplify right side
    20,597.68x = 317,396,656.59
  5. Step 5: Solve for x
    x = 317,396,656.59/20,597.68
  6. Step 6: Final answer
    x = 15,409.34

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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.