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Finding the Fourth Proportional to 13,014.57, 17,960.06 and 7,349.27

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Solution

The fourth proportional to 13,014.57, 17,960.06 and 7,349.27 is: 10,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.57 : 17,960.06 = 7,349.27 : x
  2. Step 2: Convert to fraction form
    13,014.57/17,960.06 = 7,349.27/x
  3. Step 3: Cross multiply
    13,014.57x = 17,960.06 × 7,349.27
  4. Step 4: Simplify right side
    13,014.57x = 131,993,203.61
  5. Step 5: Solve for x
    x = 131,993,203.61/13,014.57
  6. Step 6: Final answer
    x = 10,141.96

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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.