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Finding the Fourth Proportional to 27,756, 41,588.64 and 16,636.32

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Solution

The fourth proportional to 27,756, 41,588.64 and 16,636.32 is: 24,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 41,588.64 = 16,636.32 : x
  2. Step 2: Convert to fraction form
    27,756/41,588.64 = 16,636.32/x
  3. Step 3: Cross multiply
    27,756x = 41,588.64 × 16,636.32
  4. Step 4: Simplify right side
    27,756x = 691,881,923.40
  5. Step 5: Solve for x
    x = 691,881,923.40/27,756
  6. Step 6: Final answer
    x = 24,927.29

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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.