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Finding the Fourth Proportional to 12,825.05, 17,698.64 and 7,519.95

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Solution

The fourth proportional to 12,825.05, 17,698.64 and 7,519.95 is: 10,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.05 : 17,698.64 = 7,519.95 : x
  2. Step 2: Convert to fraction form
    12,825.05/17,698.64 = 7,519.95/x
  3. Step 3: Cross multiply
    12,825.05x = 17,698.64 × 7,519.95
  4. Step 4: Simplify right side
    12,825.05x = 133,092,850.27
  5. Step 5: Solve for x
    x = 133,092,850.27/12,825.05
  6. Step 6: Final answer
    x = 10,377.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.