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Finding the Fourth Proportional to 12,146.34, 18,214.40 and 5,129.52

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Solution

The fourth proportional to 12,146.34, 18,214.40 and 5,129.52 is: 7,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.34 : 18,214.40 = 5,129.52 : x
  2. Step 2: Convert to fraction form
    12,146.34/18,214.40 = 5,129.52/x
  3. Step 3: Cross multiply
    12,146.34x = 18,214.40 × 5,129.52
  4. Step 4: Simplify right side
    12,146.34x = 93,431,129.09
  5. Step 5: Solve for x
    x = 93,431,129.09/12,146.34
  6. Step 6: Final answer
    x = 7,692.12

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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.