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Finding the Fourth Proportional to 13,182, 19,772.44 and 7,631.36

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Solution

The fourth proportional to 13,182, 19,772.44 and 7,631.36 is: 11,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 19,772.44 = 7,631.36 : x
  2. Step 2: Convert to fraction form
    13,182/19,772.44 = 7,631.36/x
  3. Step 3: Cross multiply
    13,182x = 19,772.44 × 7,631.36
  4. Step 4: Simplify right side
    13,182x = 150,890,607.72
  5. Step 5: Solve for x
    x = 150,890,607.72/13,182
  6. Step 6: Final answer
    x = 11,446.72

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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.