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Finding the Fourth Proportional to 21,563.84, 29,757.75 and 12,132.42

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Solution

The fourth proportional to 21,563.84, 29,757.75 and 12,132.42 is: 16,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.84 : 29,757.75 = 12,132.42 : x
  2. Step 2: Convert to fraction form
    21,563.84/29,757.75 = 12,132.42/x
  3. Step 3: Cross multiply
    21,563.84x = 29,757.75 × 12,132.42
  4. Step 4: Simplify right side
    21,563.84x = 361,033,521.26
  5. Step 5: Solve for x
    x = 361,033,521.26/21,563.84
  6. Step 6: Final answer
    x = 16,742.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.