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Finding the Fourth Proportional to 16,454.80, 24,698.40 and 8,144.20

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Solution

The fourth proportional to 16,454.80, 24,698.40 and 8,144.20 is: 12,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.80 : 24,698.40 = 8,144.20 : x
  2. Step 2: Convert to fraction form
    16,454.80/24,698.40 = 8,144.20/x
  3. Step 3: Cross multiply
    16,454.80x = 24,698.40 × 8,144.20
  4. Step 4: Simplify right side
    16,454.80x = 201,148,709.28
  5. Step 5: Solve for x
    x = 201,148,709.28/16,454.80
  6. Step 6: Final answer
    x = 12,224.32

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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.