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Finding the Fourth Proportional to 13,033.45, 17,986.19 and 7,065.10

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Solution

The fourth proportional to 13,033.45, 17,986.19 and 7,065.10 is: 9,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.45 : 17,986.19 = 7,065.10 : x
  2. Step 2: Convert to fraction form
    13,033.45/17,986.19 = 7,065.10/x
  3. Step 3: Cross multiply
    13,033.45x = 17,986.19 × 7,065.10
  4. Step 4: Simplify right side
    13,033.45x = 127,074,230.97
  5. Step 5: Solve for x
    x = 127,074,230.97/13,033.45
  6. Step 6: Final answer
    x = 9,749.85

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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.