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Finding the Fourth Proportional to 14,650.02, 20,216.02 and 8,189.24

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Solution

The fourth proportional to 14,650.02, 20,216.02 and 8,189.24 is: 11,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.02 : 20,216.02 = 8,189.24 : x
  2. Step 2: Convert to fraction form
    14,650.02/20,216.02 = 8,189.24/x
  3. Step 3: Cross multiply
    14,650.02x = 20,216.02 × 8,189.24
  4. Step 4: Simplify right side
    14,650.02x = 165,553,839.62
  5. Step 5: Solve for x
    x = 165,553,839.62/14,650.02
  6. Step 6: Final answer
    x = 11,300.59

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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.