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Finding the Fourth Proportional to 16,192.64, 22,345.94 and 9,119.20

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Solution

The fourth proportional to 16,192.64, 22,345.94 and 9,119.20 is: 12,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.64 : 22,345.94 = 9,119.20 : x
  2. Step 2: Convert to fraction form
    16,192.64/22,345.94 = 9,119.20/x
  3. Step 3: Cross multiply
    16,192.64x = 22,345.94 × 9,119.20
  4. Step 4: Simplify right side
    16,192.64x = 203,777,096.05
  5. Step 5: Solve for x
    x = 203,777,096.05/16,192.64
  6. Step 6: Final answer
    x = 12,584.55

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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.