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Finding the Fourth Proportional to 13,001.87, 17,942.49 and 7,033.45

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Solution

The fourth proportional to 13,001.87, 17,942.49 and 7,033.45 is: 9,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.87 : 17,942.49 = 7,033.45 : x
  2. Step 2: Convert to fraction form
    13,001.87/17,942.49 = 7,033.45/x
  3. Step 3: Cross multiply
    13,001.87x = 17,942.49 × 7,033.45
  4. Step 4: Simplify right side
    13,001.87x = 126,197,606.29
  5. Step 5: Solve for x
    x = 126,197,606.29/13,001.87
  6. Step 6: Final answer
    x = 9,706.11

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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.