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Finding the Fourth Proportional to 16,542.28, 22,828.72 and 10,172.28

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Solution

The fourth proportional to 16,542.28, 22,828.72 and 10,172.28 is: 14,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.28 : 22,828.72 = 10,172.28 : x
  2. Step 2: Convert to fraction form
    16,542.28/22,828.72 = 10,172.28/x
  3. Step 3: Cross multiply
    16,542.28x = 22,828.72 × 10,172.28
  4. Step 4: Simplify right side
    16,542.28x = 232,220,131.88
  5. Step 5: Solve for x
    x = 232,220,131.88/16,542.28
  6. Step 6: Final answer
    x = 14,037.98

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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.