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Finding the Fourth Proportional to 18,186.25, 25,098.48 and 10,228.00

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Solution

The fourth proportional to 18,186.25, 25,098.48 and 10,228.00 is: 14,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.25 : 25,098.48 = 10,228.00 : x
  2. Step 2: Convert to fraction form
    18,186.25/25,098.48 = 10,228.00/x
  3. Step 3: Cross multiply
    18,186.25x = 25,098.48 × 10,228.00
  4. Step 4: Simplify right side
    18,186.25x = 256,707,190.69
  5. Step 5: Solve for x
    x = 256,707,190.69/18,186.25
  6. Step 6: Final answer
    x = 14,115.46

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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.