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Finding the Fourth Proportional to 18,226.84, 25,154.21 and 13,742.68

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Solution

The fourth proportional to 18,226.84, 25,154.21 and 13,742.68 is: 18,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226.84 : 25,154.21 = 13,742.68 : x
  2. Step 2: Convert to fraction form
    18,226.84/25,154.21 = 13,742.68/x
  3. Step 3: Cross multiply
    18,226.84x = 25,154.21 × 13,742.68
  4. Step 4: Simplify right side
    18,226.84x = 345,686,258.68
  5. Step 5: Solve for x
    x = 345,686,258.68/18,226.84
  6. Step 6: Final answer
    x = 18,965.78

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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.