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Finding the Fourth Proportional to 25,744.56, 38,624.16 and 13,273.68

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Solution

The fourth proportional to 25,744.56, 38,624.16 and 13,273.68 is: 19,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.56 : 38,624.16 = 13,273.68 : x
  2. Step 2: Convert to fraction form
    25,744.56/38,624.16 = 13,273.68/x
  3. Step 3: Cross multiply
    25,744.56x = 38,624.16 × 13,273.68
  4. Step 4: Simplify right side
    25,744.56x = 512,684,740.11
  5. Step 5: Solve for x
    x = 512,684,740.11/25,744.56
  6. Step 6: Final answer
    x = 19,914.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.