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Finding the Fourth Proportional to 21,642.64, 32,454.08 and 20,962.24

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Solution

The fourth proportional to 21,642.64, 32,454.08 and 20,962.24 is: 31,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.64 : 32,454.08 = 20,962.24 : x
  2. Step 2: Convert to fraction form
    21,642.64/32,454.08 = 20,962.24/x
  3. Step 3: Cross multiply
    21,642.64x = 32,454.08 × 20,962.24
  4. Step 4: Simplify right side
    21,642.64x = 680,310,213.94
  5. Step 5: Solve for x
    x = 680,310,213.94/21,642.64
  6. Step 6: Final answer
    x = 31,433.79

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