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Finding the Fourth Proportional to 21,381.53, 32,049.61 and 8,228.21

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Solution

The fourth proportional to 21,381.53, 32,049.61 and 8,228.21 is: 12,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.53 : 32,049.61 = 8,228.21 : x
  2. Step 2: Convert to fraction form
    21,381.53/32,049.61 = 8,228.21/x
  3. Step 3: Cross multiply
    21,381.53x = 32,049.61 × 8,228.21
  4. Step 4: Simplify right side
    21,381.53x = 263,710,740.68
  5. Step 5: Solve for x
    x = 263,710,740.68/21,381.53
  6. Step 6: Final answer
    x = 12,333.58

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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.