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Finding the Fourth Proportional to 12,925.38, 17,837.09 and 8,456.61

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Solution

The fourth proportional to 12,925.38, 17,837.09 and 8,456.61 is: 11,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.38 : 17,837.09 = 8,456.61 : x
  2. Step 2: Convert to fraction form
    12,925.38/17,837.09 = 8,456.61/x
  3. Step 3: Cross multiply
    12,925.38x = 17,837.09 × 8,456.61
  4. Step 4: Simplify right side
    12,925.38x = 150,841,313.66
  5. Step 5: Solve for x
    x = 150,841,313.66/12,925.38
  6. Step 6: Final answer
    x = 11,670.16

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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.