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Finding the Fourth Proportional to 21,478.67, 32,198.55 and 7,624.43

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Solution

The fourth proportional to 21,478.67, 32,198.55 and 7,624.43 is: 11,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.67 : 32,198.55 = 7,624.43 : x
  2. Step 2: Convert to fraction form
    21,478.67/32,198.55 = 7,624.43/x
  3. Step 3: Cross multiply
    21,478.67x = 32,198.55 × 7,624.43
  4. Step 4: Simplify right side
    21,478.67x = 245,495,429.58
  5. Step 5: Solve for x
    x = 245,495,429.58/21,478.67
  6. Step 6: Final answer
    x = 11,429.73

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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.