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Finding the Fourth Proportional to 12,146.79, 18,214.92 and 5,129.94

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Solution

The fourth proportional to 12,146.79, 18,214.92 and 5,129.94 is: 7,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.79 : 18,214.92 = 5,129.94 : x
  2. Step 2: Convert to fraction form
    12,146.79/18,214.92 = 5,129.94/x
  3. Step 3: Cross multiply
    12,146.79x = 18,214.92 × 5,129.94
  4. Step 4: Simplify right side
    12,146.79x = 93,441,446.70
  5. Step 5: Solve for x
    x = 93,441,446.70/12,146.79
  6. Step 6: Final answer
    x = 7,692.69

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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.