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Finding the Fourth Proportional to 14,107.10, 19,471.26 and 8,142.32

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Solution

The fourth proportional to 14,107.10, 19,471.26 and 8,142.32 is: 11,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.10 : 19,471.26 = 8,142.32 : x
  2. Step 2: Convert to fraction form
    14,107.10/19,471.26 = 8,142.32/x
  3. Step 3: Cross multiply
    14,107.10x = 19,471.26 × 8,142.32
  4. Step 4: Simplify right side
    14,107.10x = 158,541,229.72
  5. Step 5: Solve for x
    x = 158,541,229.72/14,107.10
  6. Step 6: Final answer
    x = 11,238.40

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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.