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Finding the Fourth Proportional to 25,816, 35,626.08 and 14,638

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Solution

The fourth proportional to 25,816, 35,626.08 and 14,638 is: 20,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816 : 35,626.08 = 14,638 : x
  2. Step 2: Convert to fraction form
    25,816/35,626.08 = 14,638/x
  3. Step 3: Cross multiply
    25,816x = 35,626.08 × 14,638
  4. Step 4: Simplify right side
    25,816x = 521,494,559.04
  5. Step 5: Solve for x
    x = 521,494,559.04/25,816
  6. Step 6: Final answer
    x = 20,200.44

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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.