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Finding the Fourth Proportional to 13,726.16, 18,944.13 and 8,690.84

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Solution

The fourth proportional to 13,726.16, 18,944.13 and 8,690.84 is: 11,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.16 : 18,944.13 = 8,690.84 : x
  2. Step 2: Convert to fraction form
    13,726.16/18,944.13 = 8,690.84/x
  3. Step 3: Cross multiply
    13,726.16x = 18,944.13 × 8,690.84
  4. Step 4: Simplify right side
    13,726.16x = 164,640,469.35
  5. Step 5: Solve for x
    x = 164,640,469.35/13,726.16
  6. Step 6: Final answer
    x = 11,994.65

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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.