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Finding the Fourth Proportional to 13,123.62, 18,105.15 and 9,147

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Solution

The fourth proportional to 13,123.62, 18,105.15 and 9,147 is: 12,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.62 : 18,105.15 = 9,147 : x
  2. Step 2: Convert to fraction form
    13,123.62/18,105.15 = 9,147/x
  3. Step 3: Cross multiply
    13,123.62x = 18,105.15 × 9,147
  4. Step 4: Simplify right side
    13,123.62x = 165,607,807.05
  5. Step 5: Solve for x
    x = 165,607,807.05/13,123.62
  6. Step 6: Final answer
    x = 12,619.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.