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Finding the Fourth Proportional to 17,427.56, 24,049.92 and 9,977

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Solution

The fourth proportional to 17,427.56, 24,049.92 and 9,977 is: 13,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427.56 : 24,049.92 = 9,977 : x
  2. Step 2: Convert to fraction form
    17,427.56/24,049.92 = 9,977/x
  3. Step 3: Cross multiply
    17,427.56x = 24,049.92 × 9,977
  4. Step 4: Simplify right side
    17,427.56x = 239,946,051.84
  5. Step 5: Solve for x
    x = 239,946,051.84/17,427.56
  6. Step 6: Final answer
    x = 13,768.20

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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.