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Finding the Fourth Proportional to 20,823.65, 28,736.89 and 11,392.22

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Solution

The fourth proportional to 20,823.65, 28,736.89 and 11,392.22 is: 15,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.65 : 28,736.89 = 11,392.22 : x
  2. Step 2: Convert to fraction form
    20,823.65/28,736.89 = 11,392.22/x
  3. Step 3: Cross multiply
    20,823.65x = 28,736.89 × 11,392.22
  4. Step 4: Simplify right side
    20,823.65x = 327,376,800.83
  5. Step 5: Solve for x
    x = 327,376,800.83/20,823.65
  6. Step 6: Final answer
    x = 15,721.39

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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.