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Finding the Fourth Proportional to 21,535.39, 32,311.32 and 8,396.92

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Solution

The fourth proportional to 21,535.39, 32,311.32 and 8,396.92 is: 12,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.39 : 32,311.32 = 8,396.92 : x
  2. Step 2: Convert to fraction form
    21,535.39/32,311.32 = 8,396.92/x
  3. Step 3: Cross multiply
    21,535.39x = 32,311.32 × 8,396.92
  4. Step 4: Simplify right side
    21,535.39x = 271,315,569.13
  5. Step 5: Solve for x
    x = 271,315,569.13/21,535.39
  6. Step 6: Final answer
    x = 12,598.59

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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.