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Finding the Fourth Proportional to 18,806.42, 28,205 and 7,716.26

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Solution

The fourth proportional to 18,806.42, 28,205 and 7,716.26 is: 11,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,806.42 : 28,205 = 7,716.26 : x
  2. Step 2: Convert to fraction form
    18,806.42/28,205 = 7,716.26/x
  3. Step 3: Cross multiply
    18,806.42x = 28,205 × 7,716.26
  4. Step 4: Simplify right side
    18,806.42x = 217,637,113.30
  5. Step 5: Solve for x
    x = 217,637,113.30/18,806.42
  6. Step 6: Final answer
    x = 11,572.49

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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.