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Finding the Fourth Proportional to 21,465.36, 32,191.80 and 8,314.80

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Solution

The fourth proportional to 21,465.36, 32,191.80 and 8,314.80 is: 12,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.36 : 32,191.80 = 8,314.80 : x
  2. Step 2: Convert to fraction form
    21,465.36/32,191.80 = 8,314.80/x
  3. Step 3: Cross multiply
    21,465.36x = 32,191.80 × 8,314.80
  4. Step 4: Simplify right side
    21,465.36x = 267,668,378.64
  5. Step 5: Solve for x
    x = 267,668,378.64/21,465.36
  6. Step 6: Final answer
    x = 12,469.78

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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.