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Finding the Fourth Proportional to 13,839.86, 19,100.54 and 7,872.68

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Solution

The fourth proportional to 13,839.86, 19,100.54 and 7,872.68 is: 10,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.86 : 19,100.54 = 7,872.68 : x
  2. Step 2: Convert to fraction form
    13,839.86/19,100.54 = 7,872.68/x
  3. Step 3: Cross multiply
    13,839.86x = 19,100.54 × 7,872.68
  4. Step 4: Simplify right side
    13,839.86x = 150,372,506.68
  5. Step 5: Solve for x
    x = 150,372,506.68/13,839.86
  6. Step 6: Final answer
    x = 10,865.17

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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.