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Finding the Fourth Proportional to 13,012.62, 17,952.75 and 7,420.38

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Solution

The fourth proportional to 13,012.62, 17,952.75 and 7,420.38 is: 10,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.62 : 17,952.75 = 7,420.38 : x
  2. Step 2: Convert to fraction form
    13,012.62/17,952.75 = 7,420.38/x
  3. Step 3: Cross multiply
    13,012.62x = 17,952.75 × 7,420.38
  4. Step 4: Simplify right side
    13,012.62x = 133,216,227.05
  5. Step 5: Solve for x
    x = 133,216,227.05/13,012.62
  6. Step 6: Final answer
    x = 10,237.46

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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.