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Finding the Fourth Proportional to 14,451.54, 21,680.24 and 8,214.54

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Solution

The fourth proportional to 14,451.54, 21,680.24 and 8,214.54 is: 12,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.54 : 21,680.24 = 8,214.54 : x
  2. Step 2: Convert to fraction form
    14,451.54/21,680.24 = 8,214.54/x
  3. Step 3: Cross multiply
    14,451.54x = 21,680.24 × 8,214.54
  4. Step 4: Simplify right side
    14,451.54x = 178,093,157.62
  5. Step 5: Solve for x
    x = 178,093,157.62/14,451.54
  6. Step 6: Final answer
    x = 12,323.47

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1.5x scale

Why These Related Problems?

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