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Finding the Fourth Proportional to 21,642.30, 32,478.04 and 8,493.12

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Solution

The fourth proportional to 21,642.30, 32,478.04 and 8,493.12 is: 12,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.30 : 32,478.04 = 8,493.12 : x
  2. Step 2: Convert to fraction form
    21,642.30/32,478.04 = 8,493.12/x
  3. Step 3: Cross multiply
    21,642.30x = 32,478.04 × 8,493.12
  4. Step 4: Simplify right side
    21,642.30x = 275,839,929.81
  5. Step 5: Solve for x
    x = 275,839,929.81/21,642.30
  6. Step 6: Final answer
    x = 12,745.41

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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.