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Finding the Fourth Proportional to 13,014.90, 17,960.67 and 7,640.55

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Solution

The fourth proportional to 13,014.90, 17,960.67 and 7,640.55 is: 10,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.90 : 17,960.67 = 7,640.55 : x
  2. Step 2: Convert to fraction form
    13,014.90/17,960.67 = 7,640.55/x
  3. Step 3: Cross multiply
    13,014.90x = 17,960.67 × 7,640.55
  4. Step 4: Simplify right side
    13,014.90x = 137,229,397.17
  5. Step 5: Solve for x
    x = 137,229,397.17/13,014.90
  6. Step 6: Final answer
    x = 10,544.02

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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.