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Finding the Fourth Proportional to 21,471.88, 32,204.06 and 5,677.06

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Solution

The fourth proportional to 21,471.88, 32,204.06 and 5,677.06 is: 8,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.88 : 32,204.06 = 5,677.06 : x
  2. Step 2: Convert to fraction form
    21,471.88/32,204.06 = 5,677.06/x
  3. Step 3: Cross multiply
    21,471.88x = 32,204.06 × 5,677.06
  4. Step 4: Simplify right side
    21,471.88x = 182,824,380.86
  5. Step 5: Solve for x
    x = 182,824,380.86/21,471.88
  6. Step 6: Final answer
    x = 8,514.60

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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.