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Finding the Fourth Proportional to 27,648.69, 41,473 and 6,872.19

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Solution

The fourth proportional to 27,648.69, 41,473 and 6,872.19 is: 10,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.69 : 41,473 = 6,872.19 : x
  2. Step 2: Convert to fraction form
    27,648.69/41,473 = 6,872.19/x
  3. Step 3: Cross multiply
    27,648.69x = 41,473 × 6,872.19
  4. Step 4: Simplify right side
    27,648.69x = 285,010,335.87
  5. Step 5: Solve for x
    x = 285,010,335.87/27,648.69
  6. Step 6: Final answer
    x = 10,308.28

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