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Finding the Fourth Proportional to 14,786.33, 20,404.76 and 8,072.06

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Solution

The fourth proportional to 14,786.33, 20,404.76 and 8,072.06 is: 11,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.33 : 20,404.76 = 8,072.06 : x
  2. Step 2: Convert to fraction form
    14,786.33/20,404.76 = 8,072.06/x
  3. Step 3: Cross multiply
    14,786.33x = 20,404.76 × 8,072.06
  4. Step 4: Simplify right side
    14,786.33x = 164,708,304.62
  5. Step 5: Solve for x
    x = 164,708,304.62/14,786.33
  6. Step 6: Final answer
    x = 11,139.23

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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.