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Finding the Fourth Proportional to 17,438.94, 24,069.56 and 11,471.20

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Solution

The fourth proportional to 17,438.94, 24,069.56 and 11,471.20 is: 15,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.94 : 24,069.56 = 11,471.20 : x
  2. Step 2: Convert to fraction form
    17,438.94/24,069.56 = 11,471.20/x
  3. Step 3: Cross multiply
    17,438.94x = 24,069.56 × 11,471.20
  4. Step 4: Simplify right side
    17,438.94x = 276,106,765.35
  5. Step 5: Solve for x
    x = 276,106,765.35/17,438.94
  6. Step 6: Final answer
    x = 15,832.77

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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.