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Finding the Fourth Proportional to 14,920.22, 20,589.91 and 8,206.30

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Solution

The fourth proportional to 14,920.22, 20,589.91 and 8,206.30 is: 11,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.22 : 20,589.91 = 8,206.30 : x
  2. Step 2: Convert to fraction form
    14,920.22/20,589.91 = 8,206.30/x
  3. Step 3: Cross multiply
    14,920.22x = 20,589.91 × 8,206.30
  4. Step 4: Simplify right side
    14,920.22x = 168,966,978.43
  5. Step 5: Solve for x
    x = 168,966,978.43/14,920.22
  6. Step 6: Final answer
    x = 11,324.70

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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.