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Finding the Fourth Proportional to 14,806.86, 22,209.66 and 8,228.88

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Solution

The fourth proportional to 14,806.86, 22,209.66 and 8,228.88 is: 12,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.86 : 22,209.66 = 8,228.88 : x
  2. Step 2: Convert to fraction form
    14,806.86/22,209.66 = 8,228.88/x
  3. Step 3: Cross multiply
    14,806.86x = 22,209.66 × 8,228.88
  4. Step 4: Simplify right side
    14,806.86x = 182,760,626.98
  5. Step 5: Solve for x
    x = 182,760,626.98/14,806.86
  6. Step 6: Final answer
    x = 12,342.97

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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.