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Finding the Fourth Proportional to 13,073.12, 18,028.68 and 10,084.24

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Solution

The fourth proportional to 13,073.12, 18,028.68 and 10,084.24 is: 13,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.12 : 18,028.68 = 10,084.24 : x
  2. Step 2: Convert to fraction form
    13,073.12/18,028.68 = 10,084.24/x
  3. Step 3: Cross multiply
    13,073.12x = 18,028.68 × 10,084.24
  4. Step 4: Simplify right side
    13,073.12x = 181,805,536.00
  5. Step 5: Solve for x
    x = 181,805,536.00/13,073.12
  6. Step 6: Final answer
    x = 13,906.82

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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.