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Finding the Fourth Proportional to 14,109.17, 19,470.73 and 8,141.09

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Solution

The fourth proportional to 14,109.17, 19,470.73 and 8,141.09 is: 11,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.17 : 19,470.73 = 8,141.09 : x
  2. Step 2: Convert to fraction form
    14,109.17/19,470.73 = 8,141.09/x
  3. Step 3: Cross multiply
    14,109.17x = 19,470.73 × 8,141.09
  4. Step 4: Simplify right side
    14,109.17x = 158,512,965.30
  5. Step 5: Solve for x
    x = 158,512,965.30/14,109.17
  6. Step 6: Final answer
    x = 11,234.75

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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.