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Finding the Fourth Proportional to 14,493.16, 20,000.82 and 8,206.84

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Solution

The fourth proportional to 14,493.16, 20,000.82 and 8,206.84 is: 11,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.16 : 20,000.82 = 8,206.84 : x
  2. Step 2: Convert to fraction form
    14,493.16/20,000.82 = 8,206.84/x
  3. Step 3: Cross multiply
    14,493.16x = 20,000.82 × 8,206.84
  4. Step 4: Simplify right side
    14,493.16x = 164,143,529.61
  5. Step 5: Solve for x
    x = 164,143,529.61/14,493.16
  6. Step 6: Final answer
    x = 11,325.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.