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Finding the Fourth Proportional to 12,844.29, 17,723.38 and 7,178.33

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Solution

The fourth proportional to 12,844.29, 17,723.38 and 7,178.33 is: 9,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.29 : 17,723.38 = 7,178.33 : x
  2. Step 2: Convert to fraction form
    12,844.29/17,723.38 = 7,178.33/x
  3. Step 3: Cross multiply
    12,844.29x = 17,723.38 × 7,178.33
  4. Step 4: Simplify right side
    12,844.29x = 127,224,270.36
  5. Step 5: Solve for x
    x = 127,224,270.36/12,844.29
  6. Step 6: Final answer
    x = 9,905.12

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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.