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Finding the Fourth Proportional to 11,219.64, 15,474 and 9,872.34

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Solution

The fourth proportional to 11,219.64, 15,474 and 9,872.34 is: 13,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.64 : 15,474 = 9,872.34 : x
  2. Step 2: Convert to fraction form
    11,219.64/15,474 = 9,872.34/x
  3. Step 3: Cross multiply
    11,219.64x = 15,474 × 9,872.34
  4. Step 4: Simplify right side
    11,219.64x = 152,764,589.16
  5. Step 5: Solve for x
    x = 152,764,589.16/11,219.64
  6. Step 6: Final answer
    x = 13,615.82

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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.