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Finding the Fourth Proportional to 14,659.10, 20,229.57 and 8,608.16

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Solution

The fourth proportional to 14,659.10, 20,229.57 and 8,608.16 is: 11,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.10 : 20,229.57 = 8,608.16 : x
  2. Step 2: Convert to fraction form
    14,659.10/20,229.57 = 8,608.16/x
  3. Step 3: Cross multiply
    14,659.10x = 20,229.57 × 8,608.16
  4. Step 4: Simplify right side
    14,659.10x = 174,139,375.29
  5. Step 5: Solve for x
    x = 174,139,375.29/14,659.10
  6. Step 6: Final answer
    x = 11,879.27

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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.