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Finding the Fourth Proportional to 12,468.03, 17,205.62 and 7,162.71

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Solution

The fourth proportional to 12,468.03, 17,205.62 and 7,162.71 is: 9,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.03 : 17,205.62 = 7,162.71 : x
  2. Step 2: Convert to fraction form
    12,468.03/17,205.62 = 7,162.71/x
  3. Step 3: Cross multiply
    12,468.03x = 17,205.62 × 7,162.71
  4. Step 4: Simplify right side
    12,468.03x = 123,238,866.43
  5. Step 5: Solve for x
    x = 123,238,866.43/12,468.03
  6. Step 6: Final answer
    x = 9,884.39

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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.