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Finding the Fourth Proportional to 25,935.84, 35,791.62 and 14,757.84

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Solution

The fourth proportional to 25,935.84, 35,791.62 and 14,757.84 is: 20,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,935.84 : 35,791.62 = 14,757.84 : x
  2. Step 2: Convert to fraction form
    25,935.84/35,791.62 = 14,757.84/x
  3. Step 3: Cross multiply
    25,935.84x = 35,791.62 × 14,757.84
  4. Step 4: Simplify right side
    25,935.84x = 528,207,001.30
  5. Step 5: Solve for x
    x = 528,207,001.30/25,935.84
  6. Step 6: Final answer
    x = 20,365.91

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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.