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Finding the Fourth Proportional to 12,123, 18,189.16 and 4,732.70

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Solution

The fourth proportional to 12,123, 18,189.16 and 4,732.70 is: 7,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 18,189.16 = 4,732.70 : x
  2. Step 2: Convert to fraction form
    12,123/18,189.16 = 4,732.70/x
  3. Step 3: Cross multiply
    12,123x = 18,189.16 × 4,732.70
  4. Step 4: Simplify right side
    12,123x = 86,083,837.53
  5. Step 5: Solve for x
    x = 86,083,837.53/12,123
  6. Step 6: Final answer
    x = 7,100.87

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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.