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Finding the Fourth Proportional to 16,286.72, 24,431.01 and 6,291.51

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Solution

The fourth proportional to 16,286.72, 24,431.01 and 6,291.51 is: 9,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.72 : 24,431.01 = 6,291.51 : x
  2. Step 2: Convert to fraction form
    16,286.72/24,431.01 = 6,291.51/x
  3. Step 3: Cross multiply
    16,286.72x = 24,431.01 × 6,291.51
  4. Step 4: Simplify right side
    16,286.72x = 153,707,943.73
  5. Step 5: Solve for x
    x = 153,707,943.73/16,286.72
  6. Step 6: Final answer
    x = 9,437.63

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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.