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Finding the Fourth Proportional to 13,388.31, 18,474.54 and 7,419.83

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Solution

The fourth proportional to 13,388.31, 18,474.54 and 7,419.83 is: 10,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.31 : 18,474.54 = 7,419.83 : x
  2. Step 2: Convert to fraction form
    13,388.31/18,474.54 = 7,419.83/x
  3. Step 3: Cross multiply
    13,388.31x = 18,474.54 × 7,419.83
  4. Step 4: Simplify right side
    13,388.31x = 137,077,853.76
  5. Step 5: Solve for x
    x = 137,077,853.76/13,388.31
  6. Step 6: Final answer
    x = 10,238.62

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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.