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Finding the Fourth Proportional to 21,757.74, 32,589.21 and 13,439.85

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Solution

The fourth proportional to 21,757.74, 32,589.21 and 13,439.85 is: 20,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.74 : 32,589.21 = 13,439.85 : x
  2. Step 2: Convert to fraction form
    21,757.74/32,589.21 = 13,439.85/x
  3. Step 3: Cross multiply
    21,757.74x = 32,589.21 × 13,439.85
  4. Step 4: Simplify right side
    21,757.74x = 437,994,094.02
  5. Step 5: Solve for x
    x = 437,994,094.02/21,757.74
  6. Step 6: Final answer
    x = 20,130.50

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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.