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Finding the Fourth Proportional to 14,391.12, 19,859.96 and 8,426.28

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Solution

The fourth proportional to 14,391.12, 19,859.96 and 8,426.28 is: 11,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.12 : 19,859.96 = 8,426.28 : x
  2. Step 2: Convert to fraction form
    14,391.12/19,859.96 = 8,426.28/x
  3. Step 3: Cross multiply
    14,391.12x = 19,859.96 × 8,426.28
  4. Step 4: Simplify right side
    14,391.12x = 167,345,583.75
  5. Step 5: Solve for x
    x = 167,345,583.75/14,391.12
  6. Step 6: Final answer
    x = 11,628.39

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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.