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Finding the Fourth Proportional to 25,825, 35,638.50 and 14,049

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Solution

The fourth proportional to 25,825, 35,638.50 and 14,049 is: 19,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825 : 35,638.50 = 14,049 : x
  2. Step 2: Convert to fraction form
    25,825/35,638.50 = 14,049/x
  3. Step 3: Cross multiply
    25,825x = 35,638.50 × 14,049
  4. Step 4: Simplify right side
    25,825x = 500,685,286.50
  5. Step 5: Solve for x
    x = 500,685,286.50/25,825
  6. Step 6: Final answer
    x = 19,387.62

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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.