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Finding the Fourth Proportional to 25,222.88, 37,833.52 and 7,692

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Solution

The fourth proportional to 25,222.88, 37,833.52 and 7,692 is: 11,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.88 : 37,833.52 = 7,692 : x
  2. Step 2: Convert to fraction form
    25,222.88/37,833.52 = 7,692/x
  3. Step 3: Cross multiply
    25,222.88x = 37,833.52 × 7,692
  4. Step 4: Simplify right side
    25,222.88x = 291,015,435.84
  5. Step 5: Solve for x
    x = 291,015,435.84/25,222.88
  6. Step 6: Final answer
    x = 11,537.76

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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.