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Finding the Fourth Proportional to 14,920.54, 20,589.91 and 8,206.16

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Solution

The fourth proportional to 14,920.54, 20,589.91 and 8,206.16 is: 11,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.54 : 20,589.91 = 8,206.16 : x
  2. Step 2: Convert to fraction form
    14,920.54/20,589.91 = 8,206.16/x
  3. Step 3: Cross multiply
    14,920.54x = 20,589.91 × 8,206.16
  4. Step 4: Simplify right side
    14,920.54x = 168,964,095.85
  5. Step 5: Solve for x
    x = 168,964,095.85/14,920.54
  6. Step 6: Final answer
    x = 11,324.26

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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.