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Finding the Fourth Proportional to 20,812.64, 28,721.64 and 11,381.36

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Solution

The fourth proportional to 20,812.64, 28,721.64 and 11,381.36 is: 15,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.64 : 28,721.64 = 11,381.36 : x
  2. Step 2: Convert to fraction form
    20,812.64/28,721.64 = 11,381.36/x
  3. Step 3: Cross multiply
    20,812.64x = 28,721.64 × 11,381.36
  4. Step 4: Simplify right side
    20,812.64x = 326,891,324.63
  5. Step 5: Solve for x
    x = 326,891,324.63/20,812.64
  6. Step 6: Final answer
    x = 15,706.38

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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.