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Finding the Fourth Proportional to 16,286.35, 24,410.65 and 7,502.82

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Solution

The fourth proportional to 16,286.35, 24,410.65 and 7,502.82 is: 11,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.35 : 24,410.65 = 7,502.82 : x
  2. Step 2: Convert to fraction form
    16,286.35/24,410.65 = 7,502.82/x
  3. Step 3: Cross multiply
    16,286.35x = 24,410.65 × 7,502.82
  4. Step 4: Simplify right side
    16,286.35x = 183,148,713.03
  5. Step 5: Solve for x
    x = 183,148,713.03/16,286.35
  6. Step 6: Final answer
    x = 11,245.53

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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.