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Finding the Fourth Proportional to 25,913.00, 35,759.54 and 14,581.61

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Solution

The fourth proportional to 25,913.00, 35,759.54 and 14,581.61 is: 20,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.00 : 35,759.54 = 14,581.61 : x
  2. Step 2: Convert to fraction form
    25,913.00/35,759.54 = 14,581.61/x
  3. Step 3: Cross multiply
    25,913.00x = 35,759.54 × 14,581.61
  4. Step 4: Simplify right side
    25,913.00x = 521,431,414.35
  5. Step 5: Solve for x
    x = 521,431,414.35/25,913.00
  6. Step 6: Final answer
    x = 20,122.39

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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.