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Finding the Fourth Proportional to 14,651.27, 21,977.04 and 5,884.13

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Solution

The fourth proportional to 14,651.27, 21,977.04 and 5,884.13 is: 8,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.27 : 21,977.04 = 5,884.13 : x
  2. Step 2: Convert to fraction form
    14,651.27/21,977.04 = 5,884.13/x
  3. Step 3: Cross multiply
    14,651.27x = 21,977.04 × 5,884.13
  4. Step 4: Simplify right side
    14,651.27x = 129,315,650.49
  5. Step 5: Solve for x
    x = 129,315,650.49/14,651.27
  6. Step 6: Final answer
    x = 8,826.24

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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.