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Finding the Fourth Proportional to 27,983.36, 38,617.08 and 15,408.14

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Solution

The fourth proportional to 27,983.36, 38,617.08 and 15,408.14 is: 21,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.36 : 38,617.08 = 15,408.14 : x
  2. Step 2: Convert to fraction form
    27,983.36/38,617.08 = 15,408.14/x
  3. Step 3: Cross multiply
    27,983.36x = 38,617.08 × 15,408.14
  4. Step 4: Simplify right side
    27,983.36x = 595,017,375.03
  5. Step 5: Solve for x
    x = 595,017,375.03/27,983.36
  6. Step 6: Final answer
    x = 21,263.26

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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.