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Finding the Fourth Proportional to 25,945.11, 38,914.02 and 8,415.09

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Solution

The fourth proportional to 25,945.11, 38,914.02 and 8,415.09 is: 12,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,945.11 : 38,914.02 = 8,415.09 : x
  2. Step 2: Convert to fraction form
    25,945.11/38,914.02 = 8,415.09/x
  3. Step 3: Cross multiply
    25,945.11x = 38,914.02 × 8,415.09
  4. Step 4: Simplify right side
    25,945.11x = 327,464,980.56
  5. Step 5: Solve for x
    x = 327,464,980.56/25,945.11
  6. Step 6: Final answer
    x = 12,621.45

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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.