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Finding the Fourth Proportional to 25,518.25, 35,215.37 and 14,340.25

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Solution

The fourth proportional to 25,518.25, 35,215.37 and 14,340.25 is: 19,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,518.25 : 35,215.37 = 14,340.25 : x
  2. Step 2: Convert to fraction form
    25,518.25/35,215.37 = 14,340.25/x
  3. Step 3: Cross multiply
    25,518.25x = 35,215.37 × 14,340.25
  4. Step 4: Simplify right side
    25,518.25x = 504,997,137.94
  5. Step 5: Solve for x
    x = 504,997,137.94/25,518.25
  6. Step 6: Final answer
    x = 19,789.65

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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.