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Finding the Fourth Proportional to 20,812.86, 28,721.84 and 11,381.41

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Solution

The fourth proportional to 20,812.86, 28,721.84 and 11,381.41 is: 15,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.86 : 28,721.84 = 11,381.41 : x
  2. Step 2: Convert to fraction form
    20,812.86/28,721.84 = 11,381.41/x
  3. Step 3: Cross multiply
    20,812.86x = 28,721.84 × 11,381.41
  4. Step 4: Simplify right side
    20,812.86x = 326,895,036.99
  5. Step 5: Solve for x
    x = 326,895,036.99/20,812.86
  6. Step 6: Final answer
    x = 15,706.40

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