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Finding the Fourth Proportional to 20,596.44, 28,423.06 and 11,165

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Solution

The fourth proportional to 20,596.44, 28,423.06 and 11,165 is: 15,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.44 : 28,423.06 = 11,165 : x
  2. Step 2: Convert to fraction form
    20,596.44/28,423.06 = 11,165/x
  3. Step 3: Cross multiply
    20,596.44x = 28,423.06 × 11,165
  4. Step 4: Simplify right side
    20,596.44x = 317,343,464.90
  5. Step 5: Solve for x
    x = 317,343,464.90/20,596.44
  6. Step 6: Final answer
    x = 15,407.69

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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.