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Finding the Fourth Proportional to 21,589.38, 32,381.88 and 6,797.88

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Solution

The fourth proportional to 21,589.38, 32,381.88 and 6,797.88 is: 10,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.38 : 32,381.88 = 6,797.88 : x
  2. Step 2: Convert to fraction form
    21,589.38/32,381.88 = 6,797.88/x
  3. Step 3: Cross multiply
    21,589.38x = 32,381.88 × 6,797.88
  4. Step 4: Simplify right side
    21,589.38x = 220,128,134.41
  5. Step 5: Solve for x
    x = 220,128,134.41/21,589.38
  6. Step 6: Final answer
    x = 10,196.13

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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.