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Finding the Fourth Proportional to 13,872, 19,152.60 and 8,208.56

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Solution

The fourth proportional to 13,872, 19,152.60 and 8,208.56 is: 11,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 19,152.60 = 8,208.56 : x
  2. Step 2: Convert to fraction form
    13,872/19,152.60 = 8,208.56/x
  3. Step 3: Cross multiply
    13,872x = 19,152.60 × 8,208.56
  4. Step 4: Simplify right side
    13,872x = 157,215,170.49
  5. Step 5: Solve for x
    x = 157,215,170.49/13,872
  6. Step 6: Final answer
    x = 11,333.27

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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.