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Finding the Fourth Proportional to 13,874.82, 19,144.75 and 8,206.74

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Solution

The fourth proportional to 13,874.82, 19,144.75 and 8,206.74 is: 11,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.82 : 19,144.75 = 8,206.74 : x
  2. Step 2: Convert to fraction form
    13,874.82/19,144.75 = 8,206.74/x
  3. Step 3: Cross multiply
    13,874.82x = 19,144.75 × 8,206.74
  4. Step 4: Simplify right side
    13,874.82x = 157,115,985.62
  5. Step 5: Solve for x
    x = 157,115,985.62/13,874.82
  6. Step 6: Final answer
    x = 11,323.82

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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.