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Finding the Fourth Proportional to 19,861.94, 27,409.92 and 10,910

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Solution

The fourth proportional to 19,861.94, 27,409.92 and 10,910 is: 15,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.94 : 27,409.92 = 10,910 : x
  2. Step 2: Convert to fraction form
    19,861.94/27,409.92 = 10,910/x
  3. Step 3: Cross multiply
    19,861.94x = 27,409.92 × 10,910
  4. Step 4: Simplify right side
    19,861.94x = 299,042,227.20
  5. Step 5: Solve for x
    x = 299,042,227.20/19,861.94
  6. Step 6: Final answer
    x = 15,056.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.