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Finding the Fourth Proportional to 19,904.67, 29,860.67 and 6,578.33

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Solution

The fourth proportional to 19,904.67, 29,860.67 and 6,578.33 is: 9,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.67 : 29,860.67 = 6,578.33 : x
  2. Step 2: Convert to fraction form
    19,904.67/29,860.67 = 6,578.33/x
  3. Step 3: Cross multiply
    19,904.67x = 29,860.67 × 6,578.33
  4. Step 4: Simplify right side
    19,904.67x = 196,433,208.42
  5. Step 5: Solve for x
    x = 196,433,208.42/19,904.67
  6. Step 6: Final answer
    x = 9,868.70

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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.