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Finding the Fourth Proportional to 25,092.16, 34,628.72 and 13,914.16

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Solution

The fourth proportional to 25,092.16, 34,628.72 and 13,914.16 is: 19,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.16 : 34,628.72 = 13,914.16 : x
  2. Step 2: Convert to fraction form
    25,092.16/34,628.72 = 13,914.16/x
  3. Step 3: Cross multiply
    25,092.16x = 34,628.72 × 13,914.16
  4. Step 4: Simplify right side
    25,092.16x = 481,829,550.68
  5. Step 5: Solve for x
    x = 481,829,550.68/25,092.16
  6. Step 6: Final answer
    x = 19,202.39

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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.