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Finding the Fourth Proportional to 18,412.66, 27,631.10 and 10,098.51

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Solution

The fourth proportional to 18,412.66, 27,631.10 and 10,098.51 is: 15,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.66 : 27,631.10 = 10,098.51 : x
  2. Step 2: Convert to fraction form
    18,412.66/27,631.10 = 10,098.51/x
  3. Step 3: Cross multiply
    18,412.66x = 27,631.10 × 10,098.51
  4. Step 4: Simplify right side
    18,412.66x = 279,032,906.85
  5. Step 5: Solve for x
    x = 279,032,906.85/18,412.66
  6. Step 6: Final answer
    x = 15,154.41

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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.