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Finding the Fourth Proportional to 16,076.75, 22,185.81 and 9,003.15

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Solution

The fourth proportional to 16,076.75, 22,185.81 and 9,003.15 is: 12,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.75 : 22,185.81 = 9,003.15 : x
  2. Step 2: Convert to fraction form
    16,076.75/22,185.81 = 9,003.15/x
  3. Step 3: Cross multiply
    16,076.75x = 22,185.81 × 9,003.15
  4. Step 4: Simplify right side
    16,076.75x = 199,742,175.30
  5. Step 5: Solve for x
    x = 199,742,175.30/16,076.75
  6. Step 6: Final answer
    x = 12,424.29

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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.