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Finding the Fourth Proportional to 13,605.29, 20,418.87 and 7,033.40

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Solution

The fourth proportional to 13,605.29, 20,418.87 and 7,033.40 is: 10,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.29 : 20,418.87 = 7,033.40 : x
  2. Step 2: Convert to fraction form
    13,605.29/20,418.87 = 7,033.40/x
  3. Step 3: Cross multiply
    13,605.29x = 20,418.87 × 7,033.40
  4. Step 4: Simplify right side
    13,605.29x = 143,614,080.26
  5. Step 5: Solve for x
    x = 143,614,080.26/13,605.29
  6. Step 6: Final answer
    x = 10,555.75

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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.