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Finding the Fourth Proportional to 12,265.32, 16,927.38 and 7,231.08

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Solution

The fourth proportional to 12,265.32, 16,927.38 and 7,231.08 is: 9,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.32 : 16,927.38 = 7,231.08 : x
  2. Step 2: Convert to fraction form
    12,265.32/16,927.38 = 7,231.08/x
  3. Step 3: Cross multiply
    12,265.32x = 16,927.38 × 7,231.08
  4. Step 4: Simplify right side
    12,265.32x = 122,403,238.97
  5. Step 5: Solve for x
    x = 122,403,238.97/12,265.32
  6. Step 6: Final answer
    x = 9,979.62

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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.