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Finding the Fourth Proportional to 11,853.10, 16,359.24 and 9,029.80

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Solution

The fourth proportional to 11,853.10, 16,359.24 and 9,029.80 is: 12,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.10 : 16,359.24 = 9,029.80 : x
  2. Step 2: Convert to fraction form
    11,853.10/16,359.24 = 9,029.80/x
  3. Step 3: Cross multiply
    11,853.10x = 16,359.24 × 9,029.80
  4. Step 4: Simplify right side
    11,853.10x = 147,720,665.35
  5. Step 5: Solve for x
    x = 147,720,665.35/11,853.10
  6. Step 6: Final answer
    x = 12,462.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.