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Finding the Fourth Proportional to 17,824, 26,726.19 and 12,208.15

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Solution

The fourth proportional to 17,824, 26,726.19 and 12,208.15 is: 18,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 26,726.19 = 12,208.15 : x
  2. Step 2: Convert to fraction form
    17,824/26,726.19 = 12,208.15/x
  3. Step 3: Cross multiply
    17,824x = 26,726.19 × 12,208.15
  4. Step 4: Simplify right side
    17,824x = 326,277,336.45
  5. Step 5: Solve for x
    x = 326,277,336.45/17,824
  6. Step 6: Final answer
    x = 18,305.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.