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Finding the Fourth Proportional to 27,471, 41,191.92 and 12,672.32

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Solution

The fourth proportional to 27,471, 41,191.92 and 12,672.32 is: 19,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471 : 41,191.92 = 12,672.32 : x
  2. Step 2: Convert to fraction form
    27,471/41,191.92 = 12,672.32/x
  3. Step 3: Cross multiply
    27,471x = 41,191.92 × 12,672.32
  4. Step 4: Simplify right side
    27,471x = 521,997,191.65
  5. Step 5: Solve for x
    x = 521,997,191.65/27,471
  6. Step 6: Final answer
    x = 19,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.