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Finding the Fourth Proportional to 21,478.68, 32,227.20 and 11,624.94

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Solution

The fourth proportional to 21,478.68, 32,227.20 and 11,624.94 is: 17,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.68 : 32,227.20 = 11,624.94 : x
  2. Step 2: Convert to fraction form
    21,478.68/32,227.20 = 11,624.94/x
  3. Step 3: Cross multiply
    21,478.68x = 32,227.20 × 11,624.94
  4. Step 4: Simplify right side
    21,478.68x = 374,639,266.37
  5. Step 5: Solve for x
    x = 374,639,266.37/21,478.68
  6. Step 6: Final answer
    x = 17,442.38

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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.