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Finding the Fourth Proportional to 14,561.40, 21,863.70 and 8,729.40

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Solution

The fourth proportional to 14,561.40, 21,863.70 and 8,729.40 is: 13,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.40 : 21,863.70 = 8,729.40 : x
  2. Step 2: Convert to fraction form
    14,561.40/21,863.70 = 8,729.40/x
  3. Step 3: Cross multiply
    14,561.40x = 21,863.70 × 8,729.40
  4. Step 4: Simplify right side
    14,561.40x = 190,856,982.78
  5. Step 5: Solve for x
    x = 190,856,982.78/14,561.40
  6. Step 6: Final answer
    x = 13,107.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.