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Finding the Fourth Proportional to 27,807, 41,715.75 and 11,168.34

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Solution

The fourth proportional to 27,807, 41,715.75 and 11,168.34 is: 16,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 41,715.75 = 11,168.34 : x
  2. Step 2: Convert to fraction form
    27,807/41,715.75 = 11,168.34/x
  3. Step 3: Cross multiply
    27,807x = 41,715.75 × 11,168.34
  4. Step 4: Simplify right side
    27,807x = 465,895,679.36
  5. Step 5: Solve for x
    x = 465,895,679.36/27,807
  6. Step 6: Final answer
    x = 16,754.62

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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.