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Finding the Fourth Proportional to 12,346.80, 18,520.20 and 11,578.80

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Solution

The fourth proportional to 12,346.80, 18,520.20 and 11,578.80 is: 17,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.80 : 18,520.20 = 11,578.80 : x
  2. Step 2: Convert to fraction form
    12,346.80/18,520.20 = 11,578.80/x
  3. Step 3: Cross multiply
    12,346.80x = 18,520.20 × 11,578.80
  4. Step 4: Simplify right side
    12,346.80x = 214,441,691.76
  5. Step 5: Solve for x
    x = 214,441,691.76/12,346.80
  6. Step 6: Final answer
    x = 17,368.20

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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.