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Finding the Fourth Proportional to 21,649, 32,476.56 and 8,494.24

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Solution

The fourth proportional to 21,649, 32,476.56 and 8,494.24 is: 12,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649 : 32,476.56 = 8,494.24 : x
  2. Step 2: Convert to fraction form
    21,649/32,476.56 = 8,494.24/x
  3. Step 3: Cross multiply
    21,649x = 32,476.56 × 8,494.24
  4. Step 4: Simplify right side
    21,649x = 275,863,695.01
  5. Step 5: Solve for x
    x = 275,863,695.01/21,649
  6. Step 6: Final answer
    x = 12,742.56

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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.