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Finding the Fourth Proportional to 13,007.42, 17,948.89 and 7,342.48

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Solution

The fourth proportional to 13,007.42, 17,948.89 and 7,342.48 is: 10,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.42 : 17,948.89 = 7,342.48 : x
  2. Step 2: Convert to fraction form
    13,007.42/17,948.89 = 7,342.48/x
  3. Step 3: Cross multiply
    13,007.42x = 17,948.89 × 7,342.48
  4. Step 4: Simplify right side
    13,007.42x = 131,789,365.85
  5. Step 5: Solve for x
    x = 131,789,365.85/13,007.42
  6. Step 6: Final answer
    x = 10,131.86

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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.