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Finding the Fourth Proportional to 20,782.53, 28,680.06 and 11,830.71

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Solution

The fourth proportional to 20,782.53, 28,680.06 and 11,830.71 is: 16,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.53 : 28,680.06 = 11,830.71 : x
  2. Step 2: Convert to fraction form
    20,782.53/28,680.06 = 11,830.71/x
  3. Step 3: Cross multiply
    20,782.53x = 28,680.06 × 11,830.71
  4. Step 4: Simplify right side
    20,782.53x = 339,305,472.64
  5. Step 5: Solve for x
    x = 339,305,472.64/20,782.53
  6. Step 6: Final answer
    x = 16,326.48

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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.