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Finding the Fourth Proportional to 13,383.69, 20,075.69 and 6,364.41

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Solution

The fourth proportional to 13,383.69, 20,075.69 and 6,364.41 is: 9,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.69 : 20,075.69 = 6,364.41 : x
  2. Step 2: Convert to fraction form
    13,383.69/20,075.69 = 6,364.41/x
  3. Step 3: Cross multiply
    13,383.69x = 20,075.69 × 6,364.41
  4. Step 4: Simplify right side
    13,383.69x = 127,769,922.19
  5. Step 5: Solve for x
    x = 127,769,922.19/13,383.69
  6. Step 6: Final answer
    x = 9,546.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.