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Finding the Fourth Proportional to 12,308.63, 16,980.42 and 7,269.41

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Solution

The fourth proportional to 12,308.63, 16,980.42 and 7,269.41 is: 10,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.63 : 16,980.42 = 7,269.41 : x
  2. Step 2: Convert to fraction form
    12,308.63/16,980.42 = 7,269.41/x
  3. Step 3: Cross multiply
    12,308.63x = 16,980.42 × 7,269.41
  4. Step 4: Simplify right side
    12,308.63x = 123,437,550.05
  5. Step 5: Solve for x
    x = 123,437,550.05/12,308.63
  6. Step 6: Final answer
    x = 10,028.54

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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.