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Finding the Fourth Proportional to 18,950.77, 28,414.01 and 7,865.11

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Solution

The fourth proportional to 18,950.77, 28,414.01 and 7,865.11 is: 11,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,950.77 : 28,414.01 = 7,865.11 : x
  2. Step 2: Convert to fraction form
    18,950.77/28,414.01 = 7,865.11/x
  3. Step 3: Cross multiply
    18,950.77x = 28,414.01 × 7,865.11
  4. Step 4: Simplify right side
    18,950.77x = 223,479,314.19
  5. Step 5: Solve for x
    x = 223,479,314.19/18,950.77
  6. Step 6: Final answer
    x = 11,792.62

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Why These Related Problems?

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