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Finding the Fourth Proportional to 13,546.57, 18,695.23 and 7,578.80

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Solution

The fourth proportional to 13,546.57, 18,695.23 and 7,578.80 is: 10,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.57 : 18,695.23 = 7,578.80 : x
  2. Step 2: Convert to fraction form
    13,546.57/18,695.23 = 7,578.80/x
  3. Step 3: Cross multiply
    13,546.57x = 18,695.23 × 7,578.80
  4. Step 4: Simplify right side
    13,546.57x = 141,687,409.12
  5. Step 5: Solve for x
    x = 141,687,409.12/13,546.57
  6. Step 6: Final answer
    x = 10,459.28

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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.