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Finding the Fourth Proportional to 14,920.10, 20,589.78 and 8,206.14

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Solution

The fourth proportional to 14,920.10, 20,589.78 and 8,206.14 is: 11,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.10 : 20,589.78 = 8,206.14 : x
  2. Step 2: Convert to fraction form
    14,920.10/20,589.78 = 8,206.14/x
  3. Step 3: Cross multiply
    14,920.10x = 20,589.78 × 8,206.14
  4. Step 4: Simplify right side
    14,920.10x = 168,962,617.25
  5. Step 5: Solve for x
    x = 168,962,617.25/14,920.10
  6. Step 6: Final answer
    x = 11,324.50

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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.