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Finding the Fourth Proportional to 12,709.94, 17,540.82 and 7,404.64

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Solution

The fourth proportional to 12,709.94, 17,540.82 and 7,404.64 is: 10,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.94 : 17,540.82 = 7,404.64 : x
  2. Step 2: Convert to fraction form
    12,709.94/17,540.82 = 7,404.64/x
  3. Step 3: Cross multiply
    12,709.94x = 17,540.82 × 7,404.64
  4. Step 4: Simplify right side
    12,709.94x = 129,883,413.55
  5. Step 5: Solve for x
    x = 129,883,413.55/12,709.94
  6. Step 6: Final answer
    x = 10,219.05

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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.