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Finding the Fourth Proportional to 25,542.69, 35,249.46 and 14,212.60

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Solution

The fourth proportional to 25,542.69, 35,249.46 and 14,212.60 is: 19,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.69 : 35,249.46 = 14,212.60 : x
  2. Step 2: Convert to fraction form
    25,542.69/35,249.46 = 14,212.60/x
  3. Step 3: Cross multiply
    25,542.69x = 35,249.46 × 14,212.60
  4. Step 4: Simplify right side
    25,542.69x = 500,986,475.20
  5. Step 5: Solve for x
    x = 500,986,475.20/25,542.69
  6. Step 6: Final answer
    x = 19,613.69

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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.