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Finding the Fourth Proportional to 25,763.69, 38,652.25 and 7,295.69

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Solution

The fourth proportional to 25,763.69, 38,652.25 and 7,295.69 is: 10,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.69 : 38,652.25 = 7,295.69 : x
  2. Step 2: Convert to fraction form
    25,763.69/38,652.25 = 7,295.69/x
  3. Step 3: Cross multiply
    25,763.69x = 38,652.25 × 7,295.69
  4. Step 4: Simplify right side
    25,763.69x = 281,994,622.30
  5. Step 5: Solve for x
    x = 281,994,622.30/25,763.69
  6. Step 6: Final answer
    x = 10,945.43

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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.