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Finding the Fourth Proportional to 14,361, 19,817.82 and 7,987.62

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Solution

The fourth proportional to 14,361, 19,817.82 and 7,987.62 is: 11,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361 : 19,817.82 = 7,987.62 : x
  2. Step 2: Convert to fraction form
    14,361/19,817.82 = 7,987.62/x
  3. Step 3: Cross multiply
    14,361x = 19,817.82 × 7,987.62
  4. Step 4: Simplify right side
    14,361x = 158,297,215.39
  5. Step 5: Solve for x
    x = 158,297,215.39/14,361
  6. Step 6: Final answer
    x = 11,022.72

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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.