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Finding the Fourth Proportional to 12,442.14, 18,652.14 and 4,119.71

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Solution

The fourth proportional to 12,442.14, 18,652.14 and 4,119.71 is: 6,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.14 : 18,652.14 = 4,119.71 : x
  2. Step 2: Convert to fraction form
    12,442.14/18,652.14 = 4,119.71/x
  3. Step 3: Cross multiply
    12,442.14x = 18,652.14 × 4,119.71
  4. Step 4: Simplify right side
    12,442.14x = 76,841,314.42
  5. Step 5: Solve for x
    x = 76,841,314.42/12,442.14
  6. Step 6: Final answer
    x = 6,175.89

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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.