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Finding the Fourth Proportional to 25,525.12, 38,305.12 and 8,885

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Solution

The fourth proportional to 25,525.12, 38,305.12 and 8,885 is: 13,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525.12 : 38,305.12 = 8,885 : x
  2. Step 2: Convert to fraction form
    25,525.12/38,305.12 = 8,885/x
  3. Step 3: Cross multiply
    25,525.12x = 38,305.12 × 8,885
  4. Step 4: Simplify right side
    25,525.12x = 340,340,991.20
  5. Step 5: Solve for x
    x = 340,340,991.20/25,525.12
  6. Step 6: Final answer
    x = 13,333.57

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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.