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Finding the Fourth Proportional to 15,744.41, 23,622.37 and 7,314.81

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Solution

The fourth proportional to 15,744.41, 23,622.37 and 7,314.81 is: 10,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.41 : 23,622.37 = 7,314.81 : x
  2. Step 2: Convert to fraction form
    15,744.41/23,622.37 = 7,314.81/x
  3. Step 3: Cross multiply
    15,744.41x = 23,622.37 × 7,314.81
  4. Step 4: Simplify right side
    15,744.41x = 172,793,041.43
  5. Step 5: Solve for x
    x = 172,793,041.43/15,744.41
  6. Step 6: Final answer
    x = 10,974.88

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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.