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Finding the Fourth Proportional to 13,039.62, 19,464 and 11,202.54

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Solution

The fourth proportional to 13,039.62, 19,464 and 11,202.54 is: 16,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.62 : 19,464 = 11,202.54 : x
  2. Step 2: Convert to fraction form
    13,039.62/19,464 = 11,202.54/x
  3. Step 3: Cross multiply
    13,039.62x = 19,464 × 11,202.54
  4. Step 4: Simplify right side
    13,039.62x = 218,046,238.56
  5. Step 5: Solve for x
    x = 218,046,238.56/13,039.62
  6. Step 6: Final answer
    x = 16,721.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.