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Finding the Fourth Proportional to 13,033.50, 17,986.23 and 7,065.12

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Solution

The fourth proportional to 13,033.50, 17,986.23 and 7,065.12 is: 9,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.50 : 17,986.23 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    13,033.50/17,986.23 = 7,065.12/x
  3. Step 3: Cross multiply
    13,033.50x = 17,986.23 × 7,065.12
  4. Step 4: Simplify right side
    13,033.50x = 127,074,873.30
  5. Step 5: Solve for x
    x = 127,074,873.30/13,033.50
  6. Step 6: Final answer
    x = 9,749.87

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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.