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Finding the Fourth Proportional to 25,786, 35,584.68 and 14,608

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Solution

The fourth proportional to 25,786, 35,584.68 and 14,608 is: 20,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 35,584.68 = 14,608 : x
  2. Step 2: Convert to fraction form
    25,786/35,584.68 = 14,608/x
  3. Step 3: Cross multiply
    25,786x = 35,584.68 × 14,608
  4. Step 4: Simplify right side
    25,786x = 519,821,005.44
  5. Step 5: Solve for x
    x = 519,821,005.44/25,786
  6. Step 6: Final answer
    x = 20,159.04

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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.