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Finding the Fourth Proportional to 12,603.77, 17,391.43 and 8,348.23

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Solution

The fourth proportional to 12,603.77, 17,391.43 and 8,348.23 is: 11,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.77 : 17,391.43 = 8,348.23 : x
  2. Step 2: Convert to fraction form
    12,603.77/17,391.43 = 8,348.23/x
  3. Step 3: Cross multiply
    12,603.77x = 17,391.43 × 8,348.23
  4. Step 4: Simplify right side
    12,603.77x = 145,187,657.67
  5. Step 5: Solve for x
    x = 145,187,657.67/12,603.77
  6. Step 6: Final answer
    x = 11,519.38

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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.