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Finding the Fourth Proportional to 21,622.25, 32,432.96 and 7,578.38

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Solution

The fourth proportional to 21,622.25, 32,432.96 and 7,578.38 is: 11,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.25 : 32,432.96 = 7,578.38 : x
  2. Step 2: Convert to fraction form
    21,622.25/32,432.96 = 7,578.38/x
  3. Step 3: Cross multiply
    21,622.25x = 32,432.96 × 7,578.38
  4. Step 4: Simplify right side
    21,622.25x = 245,789,095.35
  5. Step 5: Solve for x
    x = 245,789,095.35/21,622.25
  6. Step 6: Final answer
    x = 11,367.42

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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.