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Finding the Fourth Proportional to 12,452.07, 18,658.62 and 7,825.35

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Solution

The fourth proportional to 12,452.07, 18,658.62 and 7,825.35 is: 11,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.07 : 18,658.62 = 7,825.35 : x
  2. Step 2: Convert to fraction form
    12,452.07/18,658.62 = 7,825.35/x
  3. Step 3: Cross multiply
    12,452.07x = 18,658.62 × 7,825.35
  4. Step 4: Simplify right side
    12,452.07x = 146,010,232.02
  5. Step 5: Solve for x
    x = 146,010,232.02/12,452.07
  6. Step 6: Final answer
    x = 11,725.78

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