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Finding the Fourth Proportional to 13,033.82, 17,986.70 and 7,065.48

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Solution

The fourth proportional to 13,033.82, 17,986.70 and 7,065.48 is: 9,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.82 : 17,986.70 = 7,065.48 : x
  2. Step 2: Convert to fraction form
    13,033.82/17,986.70 = 7,065.48/x
  3. Step 3: Cross multiply
    13,033.82x = 17,986.70 × 7,065.48
  4. Step 4: Simplify right side
    13,033.82x = 127,084,669.12
  5. Step 5: Solve for x
    x = 127,084,669.12/13,033.82
  6. Step 6: Final answer
    x = 9,750.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.