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Finding the Fourth Proportional to 13,013.26, 17,958.81 and 7,349.20

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Solution

The fourth proportional to 13,013.26, 17,958.81 and 7,349.20 is: 10,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.26 : 17,958.81 = 7,349.20 : x
  2. Step 2: Convert to fraction form
    13,013.26/17,958.81 = 7,349.20/x
  3. Step 3: Cross multiply
    13,013.26x = 17,958.81 × 7,349.20
  4. Step 4: Simplify right side
    13,013.26x = 131,982,886.45
  5. Step 5: Solve for x
    x = 131,982,886.45/13,013.26
  6. Step 6: Final answer
    x = 10,142.18

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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.