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Finding the Fourth Proportional to 18,259.68, 25,198.34 and 9,876.16

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Solution

The fourth proportional to 18,259.68, 25,198.34 and 9,876.16 is: 13,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.68 : 25,198.34 = 9,876.16 : x
  2. Step 2: Convert to fraction form
    18,259.68/25,198.34 = 9,876.16/x
  3. Step 3: Cross multiply
    18,259.68x = 25,198.34 × 9,876.16
  4. Step 4: Simplify right side
    18,259.68x = 248,862,837.57
  5. Step 5: Solve for x
    x = 248,862,837.57/18,259.68
  6. Step 6: Final answer
    x = 13,629.09

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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.