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Finding the Fourth Proportional to 25,200, 34,776.02 and 14,022

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Solution

The fourth proportional to 25,200, 34,776.02 and 14,022 is: 19,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 34,776.02 = 14,022 : x
  2. Step 2: Convert to fraction form
    25,200/34,776.02 = 14,022/x
  3. Step 3: Cross multiply
    25,200x = 34,776.02 × 14,022
  4. Step 4: Simplify right side
    25,200x = 487,629,352.44
  5. Step 5: Solve for x
    x = 487,629,352.44/25,200
  6. Step 6: Final answer
    x = 19,350.37

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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.