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Finding the Fourth Proportional to 27,866.72, 41,800.08 and 14,006

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Solution

The fourth proportional to 27,866.72, 41,800.08 and 14,006 is: 21,009

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.72 : 41,800.08 = 14,006 : x
  2. Step 2: Convert to fraction form
    27,866.72/41,800.08 = 14,006/x
  3. Step 3: Cross multiply
    27,866.72x = 41,800.08 × 14,006
  4. Step 4: Simplify right side
    27,866.72x = 585,451,920.48
  5. Step 5: Solve for x
    x = 585,451,920.48/27,866.72
  6. Step 6: Final answer
    x = 21,009

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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.