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Finding the Fourth Proportional to 19,763.50, 27,274.42 and 10,811.38

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Solution

The fourth proportional to 19,763.50, 27,274.42 and 10,811.38 is: 14,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.50 : 27,274.42 = 10,811.38 : x
  2. Step 2: Convert to fraction form
    19,763.50/27,274.42 = 10,811.38/x
  3. Step 3: Cross multiply
    19,763.50x = 27,274.42 × 10,811.38
  4. Step 4: Simplify right side
    19,763.50x = 294,874,118.90
  5. Step 5: Solve for x
    x = 294,874,118.90/19,763.50
  6. Step 6: Final answer
    x = 14,920.14

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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.