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Finding the Fourth Proportional to 21,624.84, 32,443.92 and 12,261.96

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Solution

The fourth proportional to 21,624.84, 32,443.92 and 12,261.96 is: 18,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.84 : 32,443.92 = 12,261.96 : x
  2. Step 2: Convert to fraction form
    21,624.84/32,443.92 = 12,261.96/x
  3. Step 3: Cross multiply
    21,624.84x = 32,443.92 × 12,261.96
  4. Step 4: Simplify right side
    21,624.84x = 397,826,049.28
  5. Step 5: Solve for x
    x = 397,826,049.28/21,624.84
  6. Step 6: Final answer
    x = 18,396.72

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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.