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Finding the Fourth Proportional to 16,471.28, 22,706.52 and 10,172.72

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Solution

The fourth proportional to 16,471.28, 22,706.52 and 10,172.72 is: 14,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.28 : 22,706.52 = 10,172.72 : x
  2. Step 2: Convert to fraction form
    16,471.28/22,706.52 = 10,172.72/x
  3. Step 3: Cross multiply
    16,471.28x = 22,706.52 × 10,172.72
  4. Step 4: Simplify right side
    16,471.28x = 230,987,070.13
  5. Step 5: Solve for x
    x = 230,987,070.13/16,471.28
  6. Step 6: Final answer
    x = 14,023.63

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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.