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Finding the Fourth Proportional to 13,917.80, 19,209 and 10,571.69

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Solution

The fourth proportional to 13,917.80, 19,209 and 10,571.69 is: 14,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.80 : 19,209 = 10,571.69 : x
  2. Step 2: Convert to fraction form
    13,917.80/19,209 = 10,571.69/x
  3. Step 3: Cross multiply
    13,917.80x = 19,209 × 10,571.69
  4. Step 4: Simplify right side
    13,917.80x = 203,071,593.21
  5. Step 5: Solve for x
    x = 203,071,593.21/13,917.80
  6. Step 6: Final answer
    x = 14,590.78

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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.