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Finding the Fourth Proportional to 17,625.72, 24,322.86 and 10,172.28

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Solution

The fourth proportional to 17,625.72, 24,322.86 and 10,172.28 is: 14,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.72 : 24,322.86 = 10,172.28 : x
  2. Step 2: Convert to fraction form
    17,625.72/24,322.86 = 10,172.28/x
  3. Step 3: Cross multiply
    17,625.72x = 24,322.86 × 10,172.28
  4. Step 4: Simplify right side
    17,625.72x = 247,418,942.32
  5. Step 5: Solve for x
    x = 247,418,942.32/17,625.72
  6. Step 6: Final answer
    x = 14,037.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.