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Finding the Fourth Proportional to 14,074.80, 21,115.40 and 8,228.40

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Solution

The fourth proportional to 14,074.80, 21,115.40 and 8,228.40 is: 12,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.80 : 21,115.40 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    14,074.80/21,115.40 = 8,228.40/x
  3. Step 3: Cross multiply
    14,074.80x = 21,115.40 × 8,228.40
  4. Step 4: Simplify right side
    14,074.80x = 173,745,957.36
  5. Step 5: Solve for x
    x = 173,745,957.36/14,074.80
  6. Step 6: Final answer
    x = 12,344.47

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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.