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Finding the Fourth Proportional to 21,573.63, 29,770.50 and 12,142.80

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Solution

The fourth proportional to 21,573.63, 29,770.50 and 12,142.80 is: 16,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.63 : 29,770.50 = 12,142.80 : x
  2. Step 2: Convert to fraction form
    21,573.63/29,770.50 = 12,142.80/x
  3. Step 3: Cross multiply
    21,573.63x = 29,770.50 × 12,142.80
  4. Step 4: Simplify right side
    21,573.63x = 361,497,227.40
  5. Step 5: Solve for x
    x = 361,497,227.40/21,573.63
  6. Step 6: Final answer
    x = 16,756.44

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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.