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Finding the Fourth Proportional to 27,381.12, 41,056 and 9,603.20

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Solution

The fourth proportional to 27,381.12, 41,056 and 9,603.20 is: 14,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.12 : 41,056 = 9,603.20 : x
  2. Step 2: Convert to fraction form
    27,381.12/41,056 = 9,603.20/x
  3. Step 3: Cross multiply
    27,381.12x = 41,056 × 9,603.20
  4. Step 4: Simplify right side
    27,381.12x = 394,268,979.20
  5. Step 5: Solve for x
    x = 394,268,979.20/27,381.12
  6. Step 6: Final answer
    x = 14,399.30

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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.