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Finding the Fourth Proportional to 13,007.28, 17,949.96 and 7,342.05

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Solution

The fourth proportional to 13,007.28, 17,949.96 and 7,342.05 is: 10,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.28 : 17,949.96 = 7,342.05 : x
  2. Step 2: Convert to fraction form
    13,007.28/17,949.96 = 7,342.05/x
  3. Step 3: Cross multiply
    13,007.28x = 17,949.96 × 7,342.05
  4. Step 4: Simplify right side
    13,007.28x = 131,789,503.82
  5. Step 5: Solve for x
    x = 131,789,503.82/13,007.28
  6. Step 6: Final answer
    x = 10,131.98

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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.