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Finding the Fourth Proportional to 25,978.62, 35,850.89 and 14,648.66

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Solution

The fourth proportional to 25,978.62, 35,850.89 and 14,648.66 is: 20,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.62 : 35,850.89 = 14,648.66 : x
  2. Step 2: Convert to fraction form
    25,978.62/35,850.89 = 14,648.66/x
  3. Step 3: Cross multiply
    25,978.62x = 35,850.89 × 14,648.66
  4. Step 4: Simplify right side
    25,978.62x = 525,167,609.38
  5. Step 5: Solve for x
    x = 525,167,609.38/25,978.62
  6. Step 6: Final answer
    x = 20,215.37

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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.