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Finding the Fourth Proportional to 15,741.21, 23,619.99 and 6,974.07

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Solution

The fourth proportional to 15,741.21, 23,619.99 and 6,974.07 is: 10,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.21 : 23,619.99 = 6,974.07 : x
  2. Step 2: Convert to fraction form
    15,741.21/23,619.99 = 6,974.07/x
  3. Step 3: Cross multiply
    15,741.21x = 23,619.99 × 6,974.07
  4. Step 4: Simplify right side
    15,741.21x = 164,727,463.66
  5. Step 5: Solve for x
    x = 164,727,463.66/15,741.21
  6. Step 6: Final answer
    x = 10,464.73

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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.