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Finding the Fourth Proportional to 14,382.08, 19,846.78 and 8,093.24

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Solution

The fourth proportional to 14,382.08, 19,846.78 and 8,093.24 is: 11,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.08 : 19,846.78 = 8,093.24 : x
  2. Step 2: Convert to fraction form
    14,382.08/19,846.78 = 8,093.24/x
  3. Step 3: Cross multiply
    14,382.08x = 19,846.78 × 8,093.24
  4. Step 4: Simplify right side
    14,382.08x = 160,624,753.77
  5. Step 5: Solve for x
    x = 160,624,753.77/14,382.08
  6. Step 6: Final answer
    x = 11,168.40

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Why These Related Problems?

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