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Finding the Fourth Proportional to 16,243.01, 24,397.28 and 9,682.01

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Solution

The fourth proportional to 16,243.01, 24,397.28 and 9,682.01 is: 14,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.01 : 24,397.28 = 9,682.01 : x
  2. Step 2: Convert to fraction form
    16,243.01/24,397.28 = 9,682.01/x
  3. Step 3: Cross multiply
    16,243.01x = 24,397.28 × 9,682.01
  4. Step 4: Simplify right side
    16,243.01x = 236,214,660.52
  5. Step 5: Solve for x
    x = 236,214,660.52/16,243.01
  6. Step 6: Final answer
    x = 14,542.54

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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.