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Finding the Fourth Proportional to 12,353, 18,531.42 and 4,146.92

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Solution

The fourth proportional to 12,353, 18,531.42 and 4,146.92 is: 6,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353 : 18,531.42 = 4,146.92 : x
  2. Step 2: Convert to fraction form
    12,353/18,531.42 = 4,146.92/x
  3. Step 3: Cross multiply
    12,353x = 18,531.42 × 4,146.92
  4. Step 4: Simplify right side
    12,353x = 76,848,316.23
  5. Step 5: Solve for x
    x = 76,848,316.23/12,353
  6. Step 6: Final answer
    x = 6,221.02

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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.