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Finding the Fourth Proportional to 16,647.36, 22,972.32 and 9,195.20

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Solution

The fourth proportional to 16,647.36, 22,972.32 and 9,195.20 is: 12,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.36 : 22,972.32 = 9,195.20 : x
  2. Step 2: Convert to fraction form
    16,647.36/22,972.32 = 9,195.20/x
  3. Step 3: Cross multiply
    16,647.36x = 22,972.32 × 9,195.20
  4. Step 4: Simplify right side
    16,647.36x = 211,235,076.86
  5. Step 5: Solve for x
    x = 211,235,076.86/16,647.36
  6. Step 6: Final answer
    x = 12,688.80

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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.