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Finding the Fourth Proportional to 20,714.69, 28,586.46 and 11,762.38

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Solution

The fourth proportional to 20,714.69, 28,586.46 and 11,762.38 is: 16,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.69 : 28,586.46 = 11,762.38 : x
  2. Step 2: Convert to fraction form
    20,714.69/28,586.46 = 11,762.38/x
  3. Step 3: Cross multiply
    20,714.69x = 28,586.46 × 11,762.38
  4. Step 4: Simplify right side
    20,714.69x = 336,244,756.35
  5. Step 5: Solve for x
    x = 336,244,756.35/20,714.69
  6. Step 6: Final answer
    x = 16,232.19

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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.