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Finding the Fourth Proportional to 12,180.62, 16,806.35 and 8,402.58

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Solution

The fourth proportional to 12,180.62, 16,806.35 and 8,402.58 is: 11,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.62 : 16,806.35 = 8,402.58 : x
  2. Step 2: Convert to fraction form
    12,180.62/16,806.35 = 8,402.58/x
  3. Step 3: Cross multiply
    12,180.62x = 16,806.35 × 8,402.58
  4. Step 4: Simplify right side
    12,180.62x = 141,216,658.37
  5. Step 5: Solve for x
    x = 141,216,658.37/12,180.62
  6. Step 6: Final answer
    x = 11,593.56

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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.