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Finding the Fourth Proportional to 18,588.74, 25,653.04 and 10,205.42

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Solution

The fourth proportional to 18,588.74, 25,653.04 and 10,205.42 is: 14,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.74 : 25,653.04 = 10,205.42 : x
  2. Step 2: Convert to fraction form
    18,588.74/25,653.04 = 10,205.42/x
  3. Step 3: Cross multiply
    18,588.74x = 25,653.04 × 10,205.42
  4. Step 4: Simplify right side
    18,588.74x = 261,800,047.48
  5. Step 5: Solve for x
    x = 261,800,047.48/18,588.74
  6. Step 6: Final answer
    x = 14,083.80

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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.