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Finding the Fourth Proportional to 14,142.60, 21,200.00 and 6,249.42

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Solution

The fourth proportional to 14,142.60, 21,200.00 and 6,249.42 is: 9,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.60 : 21,200.00 = 6,249.42 : x
  2. Step 2: Convert to fraction form
    14,142.60/21,200.00 = 6,249.42/x
  3. Step 3: Cross multiply
    14,142.60x = 21,200.00 × 6,249.42
  4. Step 4: Simplify right side
    14,142.60x = 132,487,672.75
  5. Step 5: Solve for x
    x = 132,487,672.75/14,142.60
  6. Step 6: Final answer
    x = 9,367.99

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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.