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Finding the Fourth Proportional to 16,142.16, 22,274.22 and 8,972.04

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Solution

The fourth proportional to 16,142.16, 22,274.22 and 8,972.04 is: 12,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.16 : 22,274.22 = 8,972.04 : x
  2. Step 2: Convert to fraction form
    16,142.16/22,274.22 = 8,972.04/x
  3. Step 3: Cross multiply
    16,142.16x = 22,274.22 × 8,972.04
  4. Step 4: Simplify right side
    16,142.16x = 199,845,192.81
  5. Step 5: Solve for x
    x = 199,845,192.81/16,142.16
  6. Step 6: Final answer
    x = 12,380.33

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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.