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Finding the Fourth Proportional to 13,033.18, 17,987.64 and 7,369.66

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Solution

The fourth proportional to 13,033.18, 17,987.64 and 7,369.66 is: 10,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.18 : 17,987.64 = 7,369.66 : x
  2. Step 2: Convert to fraction form
    13,033.18/17,987.64 = 7,369.66/x
  3. Step 3: Cross multiply
    13,033.18x = 17,987.64 × 7,369.66
  4. Step 4: Simplify right side
    13,033.18x = 132,562,791.00
  5. Step 5: Solve for x
    x = 132,562,791.00/13,033.18
  6. Step 6: Final answer
    x = 10,171.18

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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.