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Finding the Fourth Proportional to 13,267.80, 18,297.90 and 7,960.68

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Solution

The fourth proportional to 13,267.80, 18,297.90 and 7,960.68 is: 10,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.80 : 18,297.90 = 7,960.68 : x
  2. Step 2: Convert to fraction form
    13,267.80/18,297.90 = 7,960.68/x
  3. Step 3: Cross multiply
    13,267.80x = 18,297.90 × 7,960.68
  4. Step 4: Simplify right side
    13,267.80x = 145,663,726.57
  5. Step 5: Solve for x
    x = 145,663,726.57/13,267.80
  6. Step 6: Final answer
    x = 10,978.74

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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.