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Finding the Fourth Proportional to 27,013.75, 40,525.41 and 9,240.25

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Solution

The fourth proportional to 27,013.75, 40,525.41 and 9,240.25 is: 13,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.75 : 40,525.41 = 9,240.25 : x
  2. Step 2: Convert to fraction form
    27,013.75/40,525.41 = 9,240.25/x
  3. Step 3: Cross multiply
    27,013.75x = 40,525.41 × 9,240.25
  4. Step 4: Simplify right side
    27,013.75x = 374,464,919.75
  5. Step 5: Solve for x
    x = 374,464,919.75/27,013.75
  6. Step 6: Final answer
    x = 13,862.01

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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.