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Finding the Fourth Proportional to 12,331.12, 17,015.33 and 6,953.84

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Solution

The fourth proportional to 12,331.12, 17,015.33 and 6,953.84 is: 9,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.12 : 17,015.33 = 6,953.84 : x
  2. Step 2: Convert to fraction form
    12,331.12/17,015.33 = 6,953.84/x
  3. Step 3: Cross multiply
    12,331.12x = 17,015.33 × 6,953.84
  4. Step 4: Simplify right side
    12,331.12x = 118,321,882.37
  5. Step 5: Solve for x
    x = 118,321,882.37/12,331.12
  6. Step 6: Final answer
    x = 9,595.39

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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.