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Finding the Fourth Proportional to 18,537.70, 25,582.02 and 10,154.20

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Solution

The fourth proportional to 18,537.70, 25,582.02 and 10,154.20 is: 14,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.70 : 25,582.02 = 10,154.20 : x
  2. Step 2: Convert to fraction form
    18,537.70/25,582.02 = 10,154.20/x
  3. Step 3: Cross multiply
    18,537.70x = 25,582.02 × 10,154.20
  4. Step 4: Simplify right side
    18,537.70x = 259,764,947.48
  5. Step 5: Solve for x
    x = 259,764,947.48/18,537.70
  6. Step 6: Final answer
    x = 14,012.79

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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.