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Finding the Fourth Proportional to 16,357.14, 24,537.30 and 6,494.21

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Solution

The fourth proportional to 16,357.14, 24,537.30 and 6,494.21 is: 9,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.14 : 24,537.30 = 6,494.21 : x
  2. Step 2: Convert to fraction form
    16,357.14/24,537.30 = 6,494.21/x
  3. Step 3: Cross multiply
    16,357.14x = 24,537.30 × 6,494.21
  4. Step 4: Simplify right side
    16,357.14x = 159,350,324.01
  5. Step 5: Solve for x
    x = 159,350,324.01/16,357.14
  6. Step 6: Final answer
    x = 9,741.94

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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.