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Finding the Fourth Proportional to 25,202.55, 37,805.94 and 7,672.53

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Solution

The fourth proportional to 25,202.55, 37,805.94 and 7,672.53 is: 11,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.55 : 37,805.94 = 7,672.53 : x
  2. Step 2: Convert to fraction form
    25,202.55/37,805.94 = 7,672.53/x
  3. Step 3: Cross multiply
    25,202.55x = 37,805.94 × 7,672.53
  4. Step 4: Simplify right side
    25,202.55x = 290,067,208.83
  5. Step 5: Solve for x
    x = 290,067,208.83/25,202.55
  6. Step 6: Final answer
    x = 11,509.44

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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.