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Finding the Fourth Proportional to 21,650.64, 32,527.80 and 13,874.64

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Solution

The fourth proportional to 21,650.64, 32,527.80 and 13,874.64 is: 20,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650.64 : 32,527.80 = 13,874.64 : x
  2. Step 2: Convert to fraction form
    21,650.64/32,527.80 = 13,874.64/x
  3. Step 3: Cross multiply
    21,650.64x = 32,527.80 × 13,874.64
  4. Step 4: Simplify right side
    21,650.64x = 451,311,514.99
  5. Step 5: Solve for x
    x = 451,311,514.99/21,650.64
  6. Step 6: Final answer
    x = 20,845.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.