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Finding the Fourth Proportional to 25,051, 37,582.26 and 8,635

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Solution

The fourth proportional to 25,051, 37,582.26 and 8,635 is: 12,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051 : 37,582.26 = 8,635 : x
  2. Step 2: Convert to fraction form
    25,051/37,582.26 = 8,635/x
  3. Step 3: Cross multiply
    25,051x = 37,582.26 × 8,635
  4. Step 4: Simplify right side
    25,051x = 324,522,815.10
  5. Step 5: Solve for x
    x = 324,522,815.10/25,051
  6. Step 6: Final answer
    x = 12,954.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.