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Finding the Fourth Proportional to 12,012.81, 16,589.09 and 11,358.33

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Solution

The fourth proportional to 12,012.81, 16,589.09 and 11,358.33 is: 15,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.81 : 16,589.09 = 11,358.33 : x
  2. Step 2: Convert to fraction form
    12,012.81/16,589.09 = 11,358.33/x
  3. Step 3: Cross multiply
    12,012.81x = 16,589.09 × 11,358.33
  4. Step 4: Simplify right side
    12,012.81x = 188,424,301.83
  5. Step 5: Solve for x
    x = 188,424,301.83/12,012.81
  6. Step 6: Final answer
    x = 15,685.28

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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.