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Finding the Fourth Proportional to 18,540.78, 25,588.14 and 10,584.24

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Solution

The fourth proportional to 18,540.78, 25,588.14 and 10,584.24 is: 14,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.78 : 25,588.14 = 10,584.24 : x
  2. Step 2: Convert to fraction form
    18,540.78/25,588.14 = 10,584.24/x
  3. Step 3: Cross multiply
    18,540.78x = 25,588.14 × 10,584.24
  4. Step 4: Simplify right side
    18,540.78x = 270,831,014.91
  5. Step 5: Solve for x
    x = 270,831,014.91/18,540.78
  6. Step 6: Final answer
    x = 14,607.32

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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.