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Finding the Fourth Proportional to 13,438.44, 18,542.34 and 7,848.36

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Solution

The fourth proportional to 13,438.44, 18,542.34 and 7,848.36 is: 10,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.44 : 18,542.34 = 7,848.36 : x
  2. Step 2: Convert to fraction form
    13,438.44/18,542.34 = 7,848.36/x
  3. Step 3: Cross multiply
    13,438.44x = 18,542.34 × 7,848.36
  4. Step 4: Simplify right side
    13,438.44x = 145,526,959.56
  5. Step 5: Solve for x
    x = 145,526,959.56/13,438.44
  6. Step 6: Final answer
    x = 10,829.16

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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.