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Finding the Fourth Proportional to 21,527.68, 32,340.12 and 12,768.34

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Solution

The fourth proportional to 21,527.68, 32,340.12 and 12,768.34 is: 19,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.68 : 32,340.12 = 12,768.34 : x
  2. Step 2: Convert to fraction form
    21,527.68/32,340.12 = 12,768.34/x
  3. Step 3: Cross multiply
    21,527.68x = 32,340.12 × 12,768.34
  4. Step 4: Simplify right side
    21,527.68x = 412,929,647.80
  5. Step 5: Solve for x
    x = 412,929,647.80/21,527.68
  6. Step 6: Final answer
    x = 19,181.34

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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.