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Finding the Fourth Proportional to 16,827.96, 25,241.82 and 7,465.74

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Solution

The fourth proportional to 16,827.96, 25,241.82 and 7,465.74 is: 11,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.96 : 25,241.82 = 7,465.74 : x
  2. Step 2: Convert to fraction form
    16,827.96/25,241.82 = 7,465.74/x
  3. Step 3: Cross multiply
    16,827.96x = 25,241.82 × 7,465.74
  4. Step 4: Simplify right side
    16,827.96x = 188,448,865.25
  5. Step 5: Solve for x
    x = 188,448,865.25/16,827.96
  6. Step 6: Final answer
    x = 11,198.56

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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.