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Finding the Fourth Proportional to 21,511.68, 32,328 and 12,747.84

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Solution

The fourth proportional to 21,511.68, 32,328 and 12,747.84 is: 19,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.68 : 32,328 = 12,747.84 : x
  2. Step 2: Convert to fraction form
    21,511.68/32,328 = 12,747.84/x
  3. Step 3: Cross multiply
    21,511.68x = 32,328 × 12,747.84
  4. Step 4: Simplify right side
    21,511.68x = 412,112,171.52
  5. Step 5: Solve for x
    x = 412,112,171.52/21,511.68
  6. Step 6: Final answer
    x = 19,157.60

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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.