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Finding the Fourth Proportional to 21,446.96, 32,165.52 and 5,865.80

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Solution

The fourth proportional to 21,446.96, 32,165.52 and 5,865.80 is: 8,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.96 : 32,165.52 = 5,865.80 : x
  2. Step 2: Convert to fraction form
    21,446.96/32,165.52 = 5,865.80/x
  3. Step 3: Cross multiply
    21,446.96x = 32,165.52 × 5,865.80
  4. Step 4: Simplify right side
    21,446.96x = 188,676,507.22
  5. Step 5: Solve for x
    x = 188,676,507.22/21,446.96
  6. Step 6: Final answer
    x = 8,797.35

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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.