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Finding the Fourth Proportional to 12,422.04, 17,142.38 and 6,833

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Solution

The fourth proportional to 12,422.04, 17,142.38 and 6,833 is: 9,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.04 : 17,142.38 = 6,833 : x
  2. Step 2: Convert to fraction form
    12,422.04/17,142.38 = 6,833/x
  3. Step 3: Cross multiply
    12,422.04x = 17,142.38 × 6,833
  4. Step 4: Simplify right side
    12,422.04x = 117,133,882.54
  5. Step 5: Solve for x
    x = 117,133,882.54/12,422.04
  6. Step 6: Final answer
    x = 9,429.52

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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.