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Finding the Fourth Proportional to 18,980.33, 28,463.27 and 7,578.77

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Solution

The fourth proportional to 18,980.33, 28,463.27 and 7,578.77 is: 11,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980.33 : 28,463.27 = 7,578.77 : x
  2. Step 2: Convert to fraction form
    18,980.33/28,463.27 = 7,578.77/x
  3. Step 3: Cross multiply
    18,980.33x = 28,463.27 × 7,578.77
  4. Step 4: Simplify right side
    18,980.33x = 215,716,396.57
  5. Step 5: Solve for x
    x = 215,716,396.57/18,980.33
  6. Step 6: Final answer
    x = 11,365.26

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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.