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Finding the Fourth Proportional to 20,812.90, 28,721.77 and 11,381.46

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Solution

The fourth proportional to 20,812.90, 28,721.77 and 11,381.46 is: 15,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.90 : 28,721.77 = 11,381.46 : x
  2. Step 2: Convert to fraction form
    20,812.90/28,721.77 = 11,381.46/x
  3. Step 3: Cross multiply
    20,812.90x = 28,721.77 × 11,381.46
  4. Step 4: Simplify right side
    20,812.90x = 326,895,676.38
  5. Step 5: Solve for x
    x = 326,895,676.38/20,812.90
  6. Step 6: Final answer
    x = 15,706.40

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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.