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Finding the Fourth Proportional to 20,728.50, 28,606.55 and 11,776.38

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Solution

The fourth proportional to 20,728.50, 28,606.55 and 11,776.38 is: 16,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.50 : 28,606.55 = 11,776.38 : x
  2. Step 2: Convert to fraction form
    20,728.50/28,606.55 = 11,776.38/x
  3. Step 3: Cross multiply
    20,728.50x = 28,606.55 × 11,776.38
  4. Step 4: Simplify right side
    20,728.50x = 336,881,544.41
  5. Step 5: Solve for x
    x = 336,881,544.41/20,728.50
  6. Step 6: Final answer
    x = 16,252.09

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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.