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Finding the Fourth Proportional to 18,537.75, 25,582.10 and 10,154.25

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Solution

The fourth proportional to 18,537.75, 25,582.10 and 10,154.25 is: 14,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.75 : 25,582.10 = 10,154.25 : x
  2. Step 2: Convert to fraction form
    18,537.75/25,582.10 = 10,154.25/x
  3. Step 3: Cross multiply
    18,537.75x = 25,582.10 × 10,154.25
  4. Step 4: Simplify right side
    18,537.75x = 259,766,988.15
  5. Step 5: Solve for x
    x = 259,766,988.15/18,537.75
  6. Step 6: Final answer
    x = 14,012.87

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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.