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Finding the Fourth Proportional to 21,340.30, 32,015.58 and 8,013.44

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Solution

The fourth proportional to 21,340.30, 32,015.58 and 8,013.44 is: 12,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.30 : 32,015.58 = 8,013.44 : x
  2. Step 2: Convert to fraction form
    21,340.30/32,015.58 = 8,013.44/x
  3. Step 3: Cross multiply
    21,340.30x = 32,015.58 × 8,013.44
  4. Step 4: Simplify right side
    21,340.30x = 256,554,929.40
  5. Step 5: Solve for x
    x = 256,554,929.40/21,340.30
  6. Step 6: Final answer
    x = 12,022.09

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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.