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Finding the Fourth Proportional to 13,033.42, 17,986.22 and 7,065.13

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Solution

The fourth proportional to 13,033.42, 17,986.22 and 7,065.13 is: 9,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.42 : 17,986.22 = 7,065.13 : x
  2. Step 2: Convert to fraction form
    13,033.42/17,986.22 = 7,065.13/x
  3. Step 3: Cross multiply
    13,033.42x = 17,986.22 × 7,065.13
  4. Step 4: Simplify right side
    13,033.42x = 127,074,982.51
  5. Step 5: Solve for x
    x = 127,074,982.51/13,033.42
  6. Step 6: Final answer
    x = 9,749.93

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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.