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Finding the Fourth Proportional to 13,257.81, 19,891.58 and 7,022.43

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Solution

The fourth proportional to 13,257.81, 19,891.58 and 7,022.43 is: 10,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.81 : 19,891.58 = 7,022.43 : x
  2. Step 2: Convert to fraction form
    13,257.81/19,891.58 = 7,022.43/x
  3. Step 3: Cross multiply
    13,257.81x = 19,891.58 × 7,022.43
  4. Step 4: Simplify right side
    13,257.81x = 139,687,193.03
  5. Step 5: Solve for x
    x = 139,687,193.03/13,257.81
  6. Step 6: Final answer
    x = 10,536.22

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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.