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Finding the Fourth Proportional to 14,382.12, 19,847.28 and 8,094.48

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Solution

The fourth proportional to 14,382.12, 19,847.28 and 8,094.48 is: 11,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.12 : 19,847.28 = 8,094.48 : x
  2. Step 2: Convert to fraction form
    14,382.12/19,847.28 = 8,094.48/x
  3. Step 3: Cross multiply
    14,382.12x = 19,847.28 × 8,094.48
  4. Step 4: Simplify right side
    14,382.12x = 160,653,411.01
  5. Step 5: Solve for x
    x = 160,653,411.01/14,382.12
  6. Step 6: Final answer
    x = 11,170.36

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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.